Question

The sum of the numerator and denominator of a fraction is 8.if 3is added to both numerator and denominator the fraction becomes 3ââ4 find the fraction

Answer 1

The answer is given below :

Let, the fraction be x/y, where y is non-zero.

Given, x + y = 8

=> 4x + 4y = 32 .....(i)

When 3 is add to both numerator and denominator, the fraction becomes

(x + 3)/(y + 3).

Given,

(x + 3)/(y + 3) = 3/4

=> 4x + 12 = 3y + 9

=> 4x - 3y + 3 = 0 .....(ii)

Subtraction between (i) and (ii) give :

7y = 35

=> y = 5

Putting y = 5 in (i), we get :

x = 3

Therefore, the required fraction is 3/5.

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