Question

A fraction becomes 1/2 if 2 is added to its numerator . when 1 is subtracted from the denominatorand it becomes 1/3 .Find the fraction

Answer 1

Answer:-

Let the fraction be x/y.

Given:

A fraction becomes 1/2 if 2 is added to numerator.

→ (x + 2)/y = 1/2

On cross multiplication we get,

→ 2(x + 2) = y

→ 2x + 4 = y -- equation (1)

And,

It becomes 1/3 if 1 is subtracted from denominator.

→ x/(y - 1) = 1/3

→ 3x = y - 1

Substitute "y" value from equation (1).

→ 3x = 2x + 4 - 1

→ 3x - 2x = 3

→ x = 3

Substitute "x" value in equation (1).

→ y = 2(3) + 4

→ y = 6 + 4

→ y = 10

Hence, the required fraction x/y is 3/10.