Question

If twice the age of son is added the of father' the sum is 56. But if twice the age of the father is added to the age of son the sum is 82. Find the agesof father and son.

Answer 1

Let the age of son be x and age of father be y.

Given 2x + y = 56

          x + 2y = 82

   On solving (1) and (2), we get

         2x + y - 2x - 4y = 56 - 164

            -3y = -108

               y = 36.

Substitute y in any above equations, we get

 2x  + 36 = 56

 2x = 20

  x = 10

  The age of the father is 36 and the age of son is 10 years.

Answer 2

Hi !


Age of father =  x
Age of son = y 


A.T.Q.,

x + 2y = 56              ----> (1)

Also,
2x + y = 82               ----> (2)

Multiplying eqn(1) with 2 :-

2(x + 2y = 56 )
2x + 4y = 112             ----> (3)

Solving equations (2) and (3), we get

 2x + 4y = 112
-2x + y = 82
-------------------
3y =  30

y = 10

2x  + y = 82
2x + (10) = 82

2x = 72
x = 36

Age of father =x = 36 years
Age of son =y = 10 years