Question

The sum of the ages of Jaren and his brother, Daniel is 40. Four years ago, Daniel was 3 times as old as Jaren. Calculate

(i) Jaren's present age
(ii) the age of Daniel when Jaren was born​

Answer 1

(i) Let's call Jaren's current age J. According to the problem, the sum of J and Daniel's age is 40.

If we also know that four years ago, Daniel was 3 times Jaren's age, we can set up the following equation:

J + (J+4) = 40

Solving for J, we find that Jaren's present age is 18.

(ii) When Jaren was born, Daniel would have been 18 + 4 = 22 years old.