Question

Age of the father is twice the sum of the ages of his two children.After 20 years his age will ve equal to the sum of the ages of his children find the age of the father 0/ maths

Answer 1

Answer,

Let the present age of father and his two children be x, y and z year, respectively.

Now by given condition, x = 2(y + z) …(i)

and after 20 year, (x + 20) = (y + 20) + (z + 20)

so, x = y + z + 20 or y + z = x - 20 …(ii)

On putting the value of (y + z) in Eq, (i) and get the present age of father ;

So, x = 2(x -20)

x = 40

Hence, the father’s age is 40 years.

Thanks!

Answer 2

let the age of one children is x and age of another children is y.

then sum of their age is x+y

then age of father is 2(x+y)

then after 20 years the father age will be 2(x+y)+20 and age of children will be x+20 and y+20.

Given ,
2(x+y) +20 = (x+20) + (y+20)
2x+2y-x-y = 20
x+y = 20

then the age of father is 2(x+y)
=2(20)
=40 years