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

Earl =12 years, Robin =24 years and Adam =4 years.


Step-by-step explanation

Let Earl's present age be


`e \: \: years`
Then Robin will be,



`2e \: \: years`

and Adam will be


`(e - 8) \: \: years`


In six years time, Robin will be 3 times as old as Adam. This implies that,



`2e + 6= 3(e - 8 + 6)`



`2e + 6= 3(e - 2)`

We expand to get,



`2e + 6= 3e - 6`



Group similar terms to get;


`3e - 2e = 6 + 6`


This implies that,


`e = 12`

Therefore their present ages are;

Earl =12 years, Robin =24 years and Adam =4 years.