Correct Answer - Option 1 : 40 years
Given:
Age of father = 2(sum of ages of his two sons)
After 20 years, Age of father = Sum of ages of his two sons
Calculation:
Let the sum of the ages of the two children and age of the father be (x + y) and F respectively.
According to question,
F = 2(x + y) ----(i)
After 20 years,
⇒ F + 20 = (x + 20 + y + 20)
⇒ F + 20 = x + y + 40
⇒ x + y = F - 20 ----(ii)
Putting the value of (x + y) into equation (i),
F = 2(F - 20)
⇒ F = 2F - 40
⇒ F = 40
∴ The present age of father is 40 years.