Question

Gabriella is 15 years older than Michael The some of their ages is 93 what is Michael's age?

Answer 1

Gabriella is 15 years older than Michael. If Micheal's age is m, then Gabriella is m + 15 years old.

The sum of their ages is 93.

Note that Michael's age is m while that of Gabriella is m + 15.

Therefore;

$\begin{gathered} m+(m+15)=93 \\ m+m+15=93 \\ 2m+15=93 \\ \text{Subtract 15 from both sides} \\ 2m+15-15=93-15 \\ 2m=78 \\ \text{Divide both sides by 2} \\ \frac{2m}{2}=\frac{78}{2} \\ m=39 \end{gathered}$

Therefore, Michael's age is 39