Question

A father and his son decides to sum their ages. The sum is equal to 60 years. Six years ago the age of father was five times the age of his son. Six years from now the age of son will be?​

Answer 1

Answer:

20 years

Step-by-step explanation:

The explanation is above

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Answer 2

Answer:

Six years from now the age of son will be 20 years

Step-by-step explanation:

Given :

• The sum of father's age and his son's age is equal to 60 years.
• Six years ago the age of father was five times the age of his son.

To find :

• The age of son six years from now

Solution :

Let the present age of father be x years and his son be y years

 

• Sum of their ages = 60 years

          x + y = 60

          x = 60 - y

• Six years ago,

     father's age = (x - 6) years

     his son's age = (y - 6) years

As given,

    x - 6 = 5(y - 6)

   x - 6 = 5y - 30

   5y - x = 30 - 6

   5y - x = 24

   5y - (60 - y) = 24  [ x = 60 - y]

  5y - 60 + y = 24

    6y = 24 + 60

    6y = 84

     y = 84/6

     y = 14

The present age of son = 14 years

After six years, his age = 14 + 6 = 20 years