Question

a woman is four times older than her daughter five years ago the product of their age was 175 find their present age

Answer 1

w = 4 d

(w - 5)(d - 5) = 175

(4 d - 5)(d - 5) = 175 ... 4 d^2 - 25 d - 150 = 0

use quadratic formula to find d
... then substitute back to find w

Answer 2

yes. I Got the answer. 10 and 40.
Thankyou.
Sir,any short cuts for solving this pblm.