Question

The mean of the ages of father and his son is 27years after18 years,father will be twice as old as his son the present ages are

Answer 1

Step-by-step explanation:

let, the present ages of father and his son be 'x' and 'y' respectively.

from first condition,

x + y

_________ = 27

2

x + y = 54 _ _ _ _ _ ( 1 )

from second condition,

2 ( y + 18 ) = x +18

2y + 36 = x + 18

2y - x = 18 - 36

2y - x = - 18

- x + 2y = - 18 _ _ _ _ _( 2 )

addind equation ( 1 ) and ( 2 )

x + y = 54

-x + 2y = - 18

________________

0 + 3 y = 36

y = 36 / 3

y = 12

substituting y = 12 in equation ( 1 )

x + y = 54

x + 12 = 54

x = 42

the present ages of father and his son are 42 years and 12 years respectively.