Question

A man s five times as old as his son.in three years time,the product of their ages will be 380.

(i) find their persentages

Answer 1

son age: X

man_age= 5X

in 3 years: we have: (man_age+3)(X+3)=380

we can replace the man age by 5X and we get :

(5X+3)(X+3)=380

it is a quadratic equation with 2 solutions. One negative and 7

The solution is thus 7, since age can not be negative.

The son is thus 7 and the dad 5 times more 35

Explanation: