Question

Gabrielle's age is three times Mikhail's age. The sum of their ages is 92. What is Mikhail's age?

Answer 1

Gabrielle is 69 while Mikhail is 23.

Explanation:

Let G represent Gabrielle's age and M represent Mikhail's age.

Gabrielle is three times Mikhail's age. In other words:

`G=3M`

The sum of their ages is 92. In other words:

`G+M=92`

This is a system of equations. Solve. Substitute in G:

`G+M=92\\(3M)+M=92\\4M=92\\M=23`

Thus, Mikhail is 23. Now, find Gabrielle's age:

`G=3M\\G=3(23)\\G=69`

Gabrielle is 69.