Question

Robin is twice as old as Earl, and in 6 years he will be three times as old as Adam, who is 8 years younger than Earl. Find their present ages.

Answer 1

Answer:

Since, Robin is twice as old as Earl,

Thus, the ratio of the age of robin and earl = 2 : 3

Let the age of robin = 2x and the age of earl = 3x

Where x is any number,

According to the question,

3×Age of Adam = 2x + 6

Age of Adam = 1/3(2x+6)

Also, Age of Adam = Age of earl - 8

⇒ 1/3(2x+6) = 3x - 8

⇒ 2x + 6 = 9x - 24

⇒ -7x = - 30

⇒ x = 30/7

Hence, the age of Robin = 2x = 2×30/7 = 60/7 years

The age of Earl = 3x = 3×30/7=90/7 years

The age of Adam = 34/7 years