Question

the age of the father is twice the sum of the ages of his two children.after 20 years, his age will be equal to the sum of th ages of his children. find the age of the father

Answer 1

Let Father's age = F, 1st child's age = C1 and 2nd child's age = C2

We have two conditions given in the question.

F = 2(C1 + C2) = 2C1 + 2C2 -------------- (i)

After 20 years,
F + 20 = C1+20+C2+20
F = C1 + C2 +20 ----------------------------- (ii)

Equating (i) and (ii), we get
2C1 + 2C2 = C1 + C2 + 20
C1 + C2 = 20

Putting this value in (i), we get F = 40

So father's age is 40 years.