Question

The ages of two sisters are 11 years and 14 years. In how many years’ time will the product of their ages be 304? 

Answer 1

The ages of two sisters are 11 years and 14 years.

Let in x number of years the product of their ages be 304. 

∴ (11 + x)(14 + x) = 304

154 + 11x + 14x + x² = 304

x² + 25x – 150 = 0

(x + 30)(x – 5) = 0

x = −30, 5 

But, the number of years cannot be negative.

So, x = 5.

Hence, the required number of years is 5 years.