Question

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 what is father's age

Answer 1

Let the fathers age be x yrs


the sum of ages of 2 children be (a+b)yrs


acc to 1st condition


x=2(a+b)=2a+2b.....(1)


acc to 2nd condition


x+20=a+20+b+20

x+20=a+b+40

x=a+b+20.....(2)

equating (1) & (2)

a+b=20

sub this in(1)
x=40

HOPE IT HELPS YOU

Answer 2

Solution :-

Let the age of father = x year

the sum of ages of two children = y year.


x = 2y --------(I)

x + 20 = y + 40

x - y = 20 -----------(ii)

From (I) or (ii)

2y - y = 20

2y - y = 20

y = 20 and x = 40


Age of father = 40 years

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@GauravSaxena01