This is the Important question based on Linear Equations in two Variables Chapter of R.S Aggarwal book for

ICSE & CBSE Board.

Here you have to find the two numbers such that the sum of thrice the first and second is given, and four times

the first exceed the second by given number.

This is the Question Number 6 Of Exercise 3E of RS Aggarwal Solution.

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# Find two numbers such that the sum of thrice the first and the second is 142, and four times the first exceeds the second by 138.

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Let us assume, the two numbers are x and y.

Given:

3x + y = 142 ————1

And also given:

4x â€“ y = 138

y = 4x â€“ 138 ————–2

Substitute the value of y from eqn 2 in eqn 1

3x + 4x â€“ 138 = 142

7x – 138 = 142

7x = 142 + 138

7x = 280

x = 40

Therefore, y = (4 * 40) â€“ 138 = 22

The two numbers are 40 and 22