Question

The age of the ramesh is twice the sum of the ages of his two daughters.after 20 years,his age will be equal to the sum of the ages of his daughters.find the age of the ramesh.​

Answer 1

Let the ages of two children be x and y.

age of ramesh be R.

here, R = 2 (x+ y). -- (i)

after 20 yrs, R+20 = ( x+20 + y+20)

~ R+20 = x+y+40

=> R = x+y+20 -----(ii)

equating i and ii ,

2( x+y) = (x+y)+20

=> x+y = 20.

sub in (i) , R = 2x20 = 40

Ramesh age = 40