Question

the numerator of a friction is 2 less than the denominator. if 3 is added to the both the numerator the fraction becomes 3/4 find the fraction

Answer 1

Given :-

The numerator of a fraction is 2 less than the denominator. if 3 is added to the both the numerator the fraction becomes 3/4

To Find :-

Fraction

Solution :-

Let the numerator be x and denominator will be x + 2

Now,

When 3 added

x + 3/x + 2 + 3 = 3/4

x + 3/x + 5 = 3/4

4(x + 3) = 3(x + 5)

4x + 12 = 3x + 15

4x - 3x = 15 - 12

x = 3

Now,

Numerator = x = 3

Denominator = x + 2 = 3 + 2 = 5