Question

The sum of the numerator and the denominator of a fraction is 12. If the denominator is increased by 3, the fraction becomes 1/2. Find the fractions.

Answer 1

Let numerator = x and denominator = y

From the given conditions, we have:

x + y = 12 ... (1)

x/y+3 = 1/2

2x - y = 3 ... (2)

Adding (1) and (2), we get,

3x = 15 or x = 5

So, y = 12 - 5 = 7

Thus, the fraction is 5/7.