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 the ages of his children.Find the age of the father

Let the age of father be *x* years and the sum of ages of two children be *y* years.

According to the question

Then after 20 years the age of father will be (*x* + 20) years and the sum of ages of two children will by (*y* + 2 × 20) = (*y* + 40) years

also *x* + 20 = *y* + 40 ... (2)

putting the value of *y* from (1) in (2) we get

Hence the age of the father is 40 years.

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