Question

Tristan is 22 years younger than Sydney. 8 years ago, Sydney's age was 2 times Tristan's age. How old is Tristan now?

Answer 1

Sydney is 52 years old, and Tristan is 30.

Explanation:

Represent Tristan's age by t and Sydney's by s.

Then s - 8 = 2(t - 8), and t = s - 22

Substituting s - 22 in the first equation, we get:

s - 8 = 2(s - 22 - 8), or

s - 8 = 2s - 60

Solving for s: -2s + s = -60 + 8, or -s = -52.

Sydney is 52 years old, and Tristan is 30.