Question

The age of arjunis twice the number of two children. After 20 years,his age will be equal to the sum of his children. Find the age of the father

Answer 1

Let the age of 1 child be x
Let the age of 2 child be y
The age of Arjun is twice that of both the children.
Hence age of Arjun = 2x =2y -------------- 1

After 20 years his age is the sum of age of his children,
Hence,
2x + 20 = 2x + 2y
=> 2y = 20
=> y = 10
Hence the age of second child is 10 years
Using equation 1,
2x=2y
2x=2(10)
=>x = 10
Hence the age of first child is also 10 years.
So age of Arjun is
from equation 1,
2x. or 2y
=2(10). or 2(10)
= 20. = 20

Hence age of Arjun is 20 years.

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