Question

The age of a man is twice the sum of the ages of his two children. After 20 years, his age will be equal to the sum of the ages of his children at that time. Find the present age of the man.

Answer 1

Let the present age of the man be x years.
and let the sum of the ages of his two children be y years.
According to the question,
x = 2y                            ...(1)
and x + 20 = y + 40      ....(2) [ Since he has two children ]

Solving (1) and (2), We get,
2y + 20 = y + 40
⇒ y = 20
So, x = 2y ⇒ x = 40.
Hence, the present age of the man is 40 years.