Question

The age of a father is twice the sum of the ages of his 2 children. After 20 years his age will be the sum of the ages of his children. Find the age of the father

Answer 1

Answer:

the age of the father is 40 years

Step-by-step explanation:

Let the age of the father be X , and

the sum of ages of his two childs be Y

A.T.Q.

X = 2Y .....[equation - 1]

After 20 years ,

X + 20 = Y + 40

[ Note that both the children will add 20 years in their ages ]

X - Y = 40 - 20

X - Y = 20......[equation - 2]

Now put the value of X from [equation - 1]

2Y - Y = 20

Y = 20

so , therefore , the age of the father = 2Y = 2 × 20 = 40 years

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