The age of the father is twice the sum of the | vedclass

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Question

(C) Let the present age of the father be $x$ years and the sum of the present ages of his two children be $S$ years.According to the first condition:

Vedclass · Accepted Answer

$40$

Vedclass · Answer

(C) Let the present age of the father be $x$ years and the sum of the present ages of his two children be $S$ years.According to the first condition: $x = 2S$ ... $(i)$After $20$ years,the father's age will be $(x + 20)$ years.After $20$ years,each child's age increases by $20$ years,so the sum of their ages will be $(S + 20 + 20) = (S + 40)$ years.According to the second condition: $x + 20 = S + 40$Substituting $S = x/2$ from equation $(i)$ into the second condition:$x + 20 = x/2 + 40$$x - x/2 = 40 - 20$$x/2 = 20$$x = 40$Thus,the father's present age is $40$ years.

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 (in years).

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