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

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

Answers (1)

Solution:
Let x be the age of father y and z be the ages of children
According to the question:
x = 2 (y + z)                … (1)
After 20 years
x + 20 = (y + 20) + (z + 20)
x + 20 = y + z + 40
x + 20  – 40 = y + z
x – 20 = y + z              … (2)
Put the value of (y + z) from equation (2) in equation (1) we get
x = 2 (x – 20)
x = 2x – 40
x – 2x = – 40
–x = – 40
x = 40
Hence father’s age is 40 years

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