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

User Nmishin
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1 Answer

15 votes
15 votes

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} \\ (2m)/(2)=(78)/(2) \\ m=39 \end{gathered}

Therefore, Michael's age is 39

User Klokop
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