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NCERT Solutions Class 10 Mathematics Solutions for Pair of Linear Equations in Two Variables - Exercise 3.5 in Chapter 3 - Pair of Linear Equations in Two Variables

Question 9 Pair of Linear Equations in Two Variables - Exercise 3.5

A fraction becomes 1/3 when 1 is subtracted from the numerator and it becomes 1/4 when 8 is added to its denominator. Find the fraction. Find the solution (if they exist) by any algebraic method

Answer:

Let the fraction be x/y.

So, as per the question given,

(x -1)/y = 1/3 => 3x – y = 3…………………(1)

x/(y + 8) = 1/4  => 4x –y =8 ………………..(2)

Subtracting equation (1) from (2) , we get

x = 5 ………………………………………….(3)

Using this value in equation (2), we get,

(4×5)– y = 8

y= 12

Therefore, the fraction is 5/12.

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