Question

Sneha’s mother is 32 yrs older than her. The product of their ages 4 yrs from now will be 969.

Answer 1

Answer:

Sneha's present age = 15 and Sneha's mother's present age is 47

Step-by-step explanation:

let sneha age = x

let sneha mother age  = x + 32

so ( x + 4 ) ( x + 32 + 4 ) = 969

=> ( x + 4 ) ( x + 36 ) = 969

=> x² + 36x + 4x + 144 = 969

=> x² + 40x + 144 = 969

=> x² + 40x + 144 - 969 = 0

=> x² + 40x - 825 = 0

=> x² + 55x - 15x - 825 = 0

=> x(x + 55 ) - 15 ( x + 55 ) = 0

=> ( x - 15 ) ( x + 55 ) = 0

=> x - 15 = 0 and x + 55 = 0

=> x = + 15 and x = - 55

as age can't be in negative, ignore x = - 55

so x = 15

x + 32 = 15 + 32 = 47

so Sneha's present age = 15 and Sneha's mother's present age is 47