Important Questions for Class 10 Maths Chapter 3 Pair of Linear Equations in Two Variables

Important Questions for Class 10 Maths Chapter 3 Pair of Linear Equations in Two Variables

Free PDF Download of CBSE Class 10 Maths Chapter 12 Areas Related to Circles Multiple Choice Questions with Answers. MCQ Questions for Class 10 Maths with Answers was Prepared Based on Latest Exam Pattern. Students can solve NCERT Class 10 Maths Areas Related to Circles MCQs with Answers to know their preparation level.

Important Questions for Class 10 Maths Chapter 3 Pair of Linear Equations in Two Variables

Question 1.
How many solutions does the pair of equations y = 0 and y = -5 have? (2013)
Solution:
y = 0 and y = -5 are Parallel lines, hence no solution.

Question 2.
The sum of the digits of a two digit number is 8 and the difference between the number and that formed by reversing the digits is 18. Find the number. (2015)
Solution:
Let unit and tens digit be x and y.
∴ Original number = 1x + 10y ...(i)
Reversed number = 10x + 1y
According to question,
x + y = 8
⇒ y = 8 - x ...(ii)
Also, 1x + 10Oy - (10x + y) = 18
⇒ x + 10y - 10x - y = 18
⇒ 9y - 9x = 18
⇒ y - x = 2 ...[Dividing both sides by 9
⇒ 8 - x - x = 2 ...[From (it)
⇒ 8 - 2 = 2x
⇒ 2x = 6
From (it), y = 8 - 3 = 5
From (i), Original number = 3 + 10(5) = 53

Pair of Linear Equations in Two Variables Class 10 Important Questions Long Answer (4 Marks)

Question 3.
The age of the father is twice the sum of the ages of his 2 children. After 20 years, his age will be equal to the sum of the ages of his children. Find the age of the father. (2012)
Solution:
Let the present ages of his children be x years and y years.
Then the present age of the father = 2(x + y) ...(i)
After 20 years, his children’s ages will be
(x + 20) and (y + 20) years
After 20 years, father’s age will be 2(x + y) + 20
According to the Question,
⇒ 2(x + y) + 20 = x + 20 + y + 20
⇒ 2x + 2y + 20 = x + y + 40
⇒ 2x + 2y - x - y = 40 - 20
⇒ x + y = 20 ...[From (i)
∴ Present age of father = 2(20) = 40 years

Question 4.
A two digit number is seven times the sum of its digits. The number formed by reversing the digits is 18 less than the given number. Find the given number. (2013)
Solution:
Let unit’s place digit be x and ten’s place digit bey.
Then original number = x + 10y
and reversed number = 10x + y
According to the Question,
x + 10y = 7(x + y)
x + 10y = 7x + 7y
⇒ 10y - 7y = 7x - x
⇒ 3y = 6x ⇒ y = 2x ...(i)
(x + 10y) - (10x + y) = 18
x + 10y - 10x - y = 18
⇒ 9y - 9x = 180
⇒ y - x = 2 ...[Dividing by 9
⇒ 2x - x = 2 ...[From (i)
∴ x = 2
Putting the value of ‘x’ in (i), we get y = 2(2) = 4
∴ Required number = x + 10y
= 2 + 10(4) = 42

Question 5.
The owner of a taxi company decides to run all the taxis on CNG fuel instead of petrol/diesel. The taxi charges in city comprises of fixed charges together with the charge for the distance covered. For a journey of 13 km, the charge paid is ₹129 and for a journey of 22 km, the charge paid is ₹210.
What will a person have to pay for travelling a distance of 32 km? (2014 )
Solution:
Let fixed charge be ₹x and the charge for the distance = ₹y per km
According to the Question,
For a journey of 13 km,
x + 13y = 129 ⇒ x = 129 - 13y ...(/)
For a journey of 22 km, x + 22y = 210 ...(ii)
⇒ 129 - 13y + 22y = 210 ...[From (i)
⇒ 9y = 210 - 129 = 81
⇒ 9y = 81 ⇒ y = 9
From (i), x = 129 - 13(9)
= 129 - 117 = 12
∴ Fixed charge, x = ₹12
∴ The charge for the distance, y = ₹9 per km
To pay for travelling a distance of 32 km
= x + 32y = 12 + 32(9) = 12 + 288 = ₹300

Post your comments

Your mobile number will not be published.

View Comments

• Jyoti
• 2024-September-10 06:14:39

Thanks

• A.Nikhil Goud
• 2024-February-10 02:44:01

Good wedsite nice

• Raj
• 2024-January-01 08:18:08

Good website

• Mdiqbal Mdiqbal
• 2023-September-01 03:08:35

Use full

• Bandapalli siva ganga Devi
• 2023-July-27 08:30:58

Super solutions

• D BALAJI
• 2023-May-22 03:18:23

Clear explanation

• M venkata bramha chowdhary
• 2023-May-16 12:21:53

Results

• Dumpa snehith
• 2023-May-01 05:12:48

Ncert to prepare for eamcet or eapcer

• Gauri
• 2023-January-05 08:05:07

Sabse khrab

• Gauri
• 2023-January-05 08:04:53

Sabse khrab

• Prajoal
• 2022-November-07 13:08:18

Verry good app

• Preethi kumarK
• 2022-April-04 08:42:37

I will very happy to sovle this mcqs

• PradeepGupta
• 2022-March-08 10:49:21

Super

• Ashwani kumar
• 2022-March-02 09:58:15

Nice

• Ashwani kumar
• 2022-March-02 09:58:04

Nice

• Zyan safi
• 2022-February-15 08:53:24

Nice

• Zyan safi
• 2022-February-15 08:53:12

Nice

• Priyanshi
• 2022-January-29 08:22:35

Thanks sir

• Naria
• 2022-January-24 09:11:38

Nice

• ningu
• 2022-January-08 08:56:50

good work sir

• hs
• 2021-December-06 08:44:35

good

• prabhakar
• 2021-November-05 13:29:34

How to download this

• Dharmen
• 2021-October-04 08:45:08

How to download

• Anubhav
• 2021-September-27 08:41:42

Math all chapter MCQ best

• NIL
• 2021-September-13 17:54:25

GOOD

• Anjali
• 2021-September-03 11:32:35

Ncert miscellaneous question pdf

• Manjeet manjhi
• 2021-September-02 08:25:59

Super

• Karanveer Kaur
• 2021-August-07 17:05:48

10 class workbook English answer

• P.Ashrafbaig
• 2021-August-06 17:34:20

My results How to check my 10th results

• Asish Kumar sahu
• 2021-July-30 15:35:38

Pls sir show my result my admit card is missing so I request you plz show my result

• Varsha
• 2021-July-29 14:58:13

This app is so..good it makes is understand better as we had seen many app with only answer we will not understand the method what they have done.....

• Anupam
• 2021-July-29 11:47:07

super

• Lavanya vishawas Sonavale
• 2021-July-28 08:23:33

Nice

• Sudha
• 2021-July-21 08:33:01

Super cute

• Matruprasad nath
• 2021-July-19 08:35:09

plese give me the answer for above question

• Abhiram
• 2021-July-17 10:49:18

8th class Telugu and maths social PDF text books

• Abhiram
• 2021-July-17 10:48:31

8th class Telugu and maths social PDF text books

• Abhiram
• 2021-July-17 10:48:21

8th class Telugu and maths social PDF text books

• Aman
• 2021-July-16 17:54:57

Nice

• Patil yasvitah
• 2021-July-15 08:48:58

S the practice question papers clasfrom foranothers districts of Karnataka 10th MCQ pattern 2021 exam 40 marks

• Ajay
• 2021-July-10 15:13:43

Basic questions

• Nikki
• 2021-July-03 16:36:13

How to download this pdf

• Murali
• 2021-June-29 17:38:23

How to get free download

• Murali
• 2021-June-29 17:38:23

How to get free download

• Murali
• 2021-June-29 17:38:13

How to get free download

• Kurmapu rohini
• 2021-June-26 17:51:15

How to download

• Yashvanth
• 2021-June-25 08:55:48

S PDF

• Bhoomi
• 2021-June-22 10:27:13

Nice this content is very helpful ....thnx a lot ..and pls expand the question there is only 58 which is less for class 10

• Omkar
• 2021-June-21 18:23:37

How to download

• tanya shukla
• 2021-June-14 09:27:07

hello thankyou so much it really helped me in my exam...........

• Ranjith
• 2021-June-11 09:43:25

Good

• R sudha
• 2021-June-05 18:16:47

Good

• Urvi
• 2021-April-08 13:34:59

Teacher

• Rohit
• 2021-April-06 08:36:53

Nice

• HARSH RAJPUT DEVSARIYA 🙏🙏🙏🙏
• 2021-March-04 14:03:46

Thanku for giving All chapter MCQ thanku you very much

• Rakesh
• 2021-February-18 08:58:15

I need 2019 10 Class Batch Results

• Daripalli ramu
• 2021-January-15 17:59:04

Super

• Subash Gond
• 2020-December-31 08:20:16

McQ question all chapter

• Vandna
• 2020-December-28 16:35:55

What,where and how lesson 1 class 6 pdf

• Yuvraj yadav
• 2020-December-19 09:45:44

Hi

• Manasa
• 2020-December-11 12:17:15

Good

• Gundi.sonia
• 2020-December-07 11:59:59

Hii

• Dhanam jay
• 2020-December-05 10:33:16

Very nice

• Tanveer
• 2020-December-02 14:50:15

Political Science question solution

• Trilok
• 2020-November-09 12:54:21

I like

• Anshu poonia
• 2020-October-24 15:03:52

Superb

• Ranjan Baruah
• 2020-October-22 09:02:59

Thank sir

• MATHURAM
• 2020-October-14 12:52:51

Need notes

• Yadnyesh ubhad
• 2020-October-12 08:42:03

So nice answer

• Anusha chettri
• 2020-October-09 13:21:16

Hello

• Anusha chettri
• 2020-October-09 13:20:28

Hello

• Jasmita Naik
• 2020-September-15 12:24:24

Thank you very much.... Sir we need more help from you.... From other subject also we need like this questions.. So please sir kindly help us through uploading questions from science... Please sir

• Jasmita Naik
• 2020-September-15 12:24:22

Thank you very much.... Sir we need more help from you.... From other subject also we need like this questions.. So please sir kindly help us through uploading questions from science... Please sir

• Mohini
• 2020-September-01 09:39:49

Kitne time se

• Rajudutta
• 2020-August-29 09:08:57

Excellent and reliable apps

• SALMAN
• 2020-August-28 09:54:17

I WANT 2019 ENGLISH CBSC CLASS 3RD COURSE BOOK SYLLABUS AND SOLUTIONS

• ULRICA
• 2020-August-20 18:23:29

It

• Rishabh Kumar
• 2020-August-20 12:06:16

Please give me

• Chandra shekar
• 2020-August-17 18:16:29

Mandasa

• p.harshavardhan
• 2020-August-17 09:41:40

Ok

• Charchit
• 2020-August-15 09:24:13

Yes they are all question are main

• Muthalagu
• 2020-August-10 13:04:53

10 A class

• Vadde madhu
• 2020-August-09 13:05:59

Hallo

• Veeranna
• 2020-August-04 18:04:29

1:1 2004

• Eslavath Kalyan
• 2020-July-29 13:13:11

Komatipalli kesamudram

• Gumma pavan kalyan
• 2020-July-27 19:15:47

Hall ticket

• Rajudutta
• 2020-July-21 14:09:35

Excellent solutions and easy to learn.

• VAGEESHA
• 2020-July-17 12:42:54

NICE JOB

• Syed sayeed saaqib
• 2020-July-17 09:17:31

10 th class marks

• P.fairoz khan
• 2020-July-17 09:17:26

My SSC result

• Gangavarapu Ashok Reddy
• 2020-July-16 18:48:26

10 the class 2020 markas

• Kusi Mani kumaR
• 2020-July-16 13:12:26

2008125010

• suhailhajam
• 2020-July-16 13:12:18

plz kindly MCQ question s

• suhailhajam
• 2020-July-16 09:23:15

plz kindly MCQ question s

• Koripalli. Bindu ramya
• 2020-July-16 09:23:07

Inter results second year

• Faizan
• 2020-July-15 19:05:41

Beautiful

• K. Umesh Chandra
• 2020-July-15 19:05:34

Please release 10th results

• Surra naidu
• 2020-July-15 18:11:06

S me result

• Lakpathi
• 2020-July-15 18:10:58

Cbse resuls

• S.sravani
• 2020-July-15 18:10:50

CBSE 10th class result

• Gundrathi Mohan
• 2020-July-15 18:10:35

S me results

• Gundrathi Mohan
• 2020-July-15 12:58:21

S me results

• suhailhajam
• 2020-July-15 12:02:02

plz kindly MCQ question s

• chandar
• 2020-July-15 12:01:55

chan

• suhailhajam
• 2020-July-15 09:56:17

plz kindly MCQ question s

• Kaustab Roy
• 2020-June-29 08:44:49

I want to explore everything

• Anup
• 2020-June-16 19:51:29

Workbook unit 1 exercise solution

• Khushdeep Kaur
• 2020-June-15 09:19:07

I want pdf of MCQ class 10th C.B.S.E

• Saddam
• 2020-June-09 15:24:13

Kindly s me 10 maths mcq question answer

• SADDAM
• 2020-June-08 14:24:07

SEND ME

• Bed prakash
• 2020-June-01 09:44:40

Mera result

• palla sivaram
• 2020-April-21 13:55:32

haiii

• Dany
• 2020-March-07 16:10:18

NCERT Solutions Very Good I Like It

• laxman
• 2020-February-17 15:31:16

good

• Bhanusam.manjula
• 2019-August-17 12:35:47

Ssc 2007batch regular halltichet number

• Ramu
• 2019-July-31 12:35:35

NCERT Solutions

• Kalamata gowriswari
• 2019-June-17 17:57:24

Open 10th result 2019ap

• Nagra rayal
• 2019-May-17 10:35:13

Yappudu 10th reselts

• Yanati nagarani
• 2019-May-17 10:20:31

10th result

• NAGESWARA
• 2019-May-11 18:30:50

How can see ssc ap 10th results

• m.kalyani
• 2019-May-11 18:30:36

10th result

• Naveen
• 2019-May-10 13:17:17

10th results

• Sri kesav
• 2019-May-10 09:58:50

Please tell me the correct date of AP ssc results

• K. Sudhakar
• 2019-May-10 09:58:43

Plz 10th result

• V pawan durga sriniva
• 2019-May-07 14:24:49

Please 10th cbsc results

• V pawan durga sriniva
• 2019-May-07 14:24:39

Please 10th cbsc results

• Charan
• 2019-May-07 14:24:21

Result ssc

• Ayesha
• 2019-May-07 14:24:17

At. What time did exam results will come?

• Vadithya suresh
• 2019-May-04 14:44:06

Results

• VANKUDOTH pavan kalyan
• 2018-May-30 10:16:07

Results

• C H VAISHAVI
• 2018-May-29 18:18:18

Cbse result by name

• varunsai sanne
• 2018-May-29 16:00:17

Xth results 2018

• varunsai sanne
• 2018-May-29 15:44:24

Xth results 2018

• Yalagala Srihari
• 2018-May-29 13:04:27

Exam results

• Alpesh Dhamale
• 2018-May-29 11:36:50

Nice article my baby wait for exam result i hope this year pass percentage may be increase

• m. mohan rao
• 2018-May-28 11:03:47

hi, s me cbse 10 class 2018 results

• akshaya
• 2018-May-26 10:22:07

at what time resilts are going to today

• Velupala Ashwarya
• 2018-May-15 11:01:52

My result

• Ramu
• 2018-May-12 16:09:34

good information