Question

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

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
therefore the fathers age is 40 yrs.
if u like mark it as brainliest answer.

Answer 2

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

x = 2y (Equation 1)

By the second condition

x + 20 = y + 40

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

x - y = 20 (Equation 2)

From Equation (1) and (2)

2y - y = 20

y = 20 and x = 40

Age of father = 40 years