# NCERT Solutions for class 10 Maths Chapter 3 Exercise 3.4

NCERT Solutions for class 10 Maths Chapter 3 Exercise 3.4 pair of linear equations in two variables in Hindi Medium and English Medium in PDF download or View in Video Format or study online for session 2020-21.

NCERT Solutions Apps 2020-21 and PDF Solutions are updated as per student’s convenience for CBSE Curriculum 2020-21 for Gujrat Board, MP Board, UP board / Uttarakhand Board / CBSE board based NCERT Books. Download here (Exercise 3.4) in PDF form. For any further suggestions you are most welcome.## NCERT Solutions for class 10 Maths Chapter 3 Exercise 3.4

Class: | 10 |

Subject: | Maths – गणित |

Chapter 3: | Exercise 3.4 |

### 10 Maths Chapter 3 Exercise 3.4 Solutions

NCERT Solutions for class 10 Maths Chapter 3 Exercise 3.4 in English & Hindi medium online to use or download in PDF form free for academic session 2020-21. Download all Exercises of Class 10 Maths Chapter 3 Solutions main page. Download Offline Apps 2020-21 based on latest NCERT Books 2020-2021.

### Class 10 Maths Exercise 3.4 Solutions

#### Important Questions on Linear Equations

1. Two numbers are in the ration of 5:6. If 8 is subtracted from each of the numbers, they become in the ratio of 4:5. Find the numbers. [Answer: 40, 48]

2. Given the linear equation 2x + 3y – 12 = 0, write another linear equation in these variables, such that. geometrical representation of the pair so formed is (i) Parallel Lines (ii) Coincident Lines. [Answer: (i). 4x+6y+10=0, (ii). 4x+6y-24=0]

3. The ratio between girls and boys in a class of 40 students is 2:3. Five new students joined the class. How many of them must be boys so that the ratio between girls and boys becomes 4:5? [Answer: 1]

4. The difference of two number is 66. If one number is four times the other, find the numbers. [Answer: 88, 22]

5. A sum of money was distributed equally among a certain number of children. If there were 10 children more, each would get a rupee less. But if there were 15 children less, each would get of ₹3 more. Find the sum of money distributed and also the number of children. [Answer: ₹200, 40]

##### Important Questions with answers

1. For what value of k, the following system of equations will be inconsistent: kx + 3y = k – 3; 12x + ky = k. [Answer: k=-6]

2. Solve graphically the pair of linear equations 5x – y = 5 and 3x – 2y = – 4 Also find the co-ordinates of the points where these lines intersect y-axis. [Answer: (2, 5), (0, -5) and (0, 2)]

3. A number consists of two digits. When it is divided by the sum of the digits, the quotient is 6 with no remainder. When the number is diminished by 9, the digits are reversed. Find the number. [Answer: 54]

4. For what values of a and b the following pair of linear equations have infinite number of solutions?

2x + 3y = 7; a(x + y) – b(x – y) = 3a + b – 2. [Answer: a=5, b=1]

5. The sum of a two digit number and the number obtained by interchanging the digits is 132. If the two digits differ by 2, find the number. [Answer: 75 or 57]

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