Question

father and his son decides to sum their age. The sum is equal to sixty years. Six years ago the age of the father was five times the age of the son. Six years from now the son’s age will be?

Answer 1

Answer:

9 years.

Step-by-step explanation:

Son's age is equal to 9 years.

Answer 2

Let :

• Present Age of father = x years
• Present age of son = y years

Given :

• Sum of present age of father & son = 60 years
• 6 years ago , age of father = 5 times age of son

To find:

Age of son after 6 years

Solution :

Case 1)

Sum of present age = 60

x + y = 60 .... equation 1

Case 2)

Age of father , 6 year ago = (x-6)

Age of son, 6 year ago = (y-6)

Now , according to question-

age of father = 5 times age of son

(x-6) = 5(y-6)

x - 6 = 5y - 30

x = 5y - 30 + 6

x = 5y - 24 ..... equation 2

On putting value of x from equation 2 into equation 1, we get;

(5y-24) + y = 60

6y = 60+24

6y = 84

y = 84 ÷ 6

y = 14

Now we need to find age of son after 6 years from now ,

that is , y + 6

Age of son after 6 years from now = 14 + 6

Age of son after 6 years from now = 20 years

ANSWER : 20 years