Question

Two years ago Ramesh was three times as old as his son. Two years later, twice of his age will be equal to the five times that of his son's age. find their present ages with complete statement.

Answer 1

Let The present age of Ramesh be x
and his son be y

Two years ago :-

Ramesh age :- x - 2
Son's age :- y - 2


• Ramesh is 3 times as old as his son

x - 2 = 3 ( y - 2 )

x - 2 = 3y - 6

x = 3y - 6 + 2

x = 3y - 4 ..... ( i )


After two years :-

Ramesh age :- x + 2
Son age :- y + 2

• Twice of Ramesh age is equal to five times that of his son

2 ( x + 2 ) = 5 ( y + 2 )

2x + 4 = 5y + 10

2x - 5y = 10 - 4

2x - 5y = 6 ..... ( ii )

Putting value of x from ( i ) in ( ii )

2x - 5y = 6

2 ( 3y - 4 ) - 5y = 6

6y - 8 - 5y = 6

y = 6 + 8

y = 14

Putting in ( i )

x = 3y - 4

x = 42 - 4

x = 38

Ramesh age :- 38 years
Son' s age :- 14 Years

Answer 2

The present of age of Rohan is 38 years and his son's age is 9 years old