Question

The sum of the ages (in years) of a son and his father is 35 and the their ages is 150. Find their ages.

Answer 1

Let the father and his son’s age be ‘X’ yrs and ‘Y’ yrs respectively.

X + Y = 35

X × Y = 150

X = 150/Y

150/Y + Y = 35

150 + Y² = 35Y

Y² – 35Y + 150 = 0

(Y–5) (Y–30)=0

Y=5

The son's age (Y) = 5 yrs and father's age (X) = 30 yrs.