Question

If the numerator of a fraction is increased by 2 and the denominator by 1, it becomes 1. In case, the numerator is decreased by 4 and the denominator by 2, it becomes 1/2. Find the fraction.

Answer 1

Answer:

Step-by-step explanation:

Given : If the numerator of a certain fraction is increased by 2 and the denominator by 1 the fraction becomes equal to 5/8 and if the numerator and denominator are each demands by 1 the fraction becomes equal to 1/2.

To find : The fraction  ?

Solution :

Let the fraction be

If the numerator of a certain fraction is increased by 2 and the denominator by 1 the fraction becomes equal to 5/8.

i.e. Cross multiply,

If the numerator and denominator are each demands by 1 the fraction becomes equal to 1/2. i.e. Cross multiply,

Solving equation (1) and (2),

Multiply equation (2) by 4 and subtract from (1)

Substitute in equation (2),

The fraction became