Question 589678
Sum of their ages is twice the difference:
p + q = 2(q - p) -> p + q = 2q - 2p -> q = 3p
Product of their ages is 675:
p*q = 675
Substitute the value for q above:
p*3p = 675
3p^2 = 675
p = 15
So the son is 15 and the mother is 45 yrs old