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If Martha is x years old and her mother is 5 times older and the sum of their age is 88, how old is Martha?

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Let Martha age = x years old

Since her mother's age is 5 times her age, then

Her mother = 5(x) = 5x years old

Since the sum of their ages is 84, then

Add x and 5x, then equate the sum by 84


\begin{gathered} x+5x=84 \\ 6x=84 \end{gathered}

Divide both sides by 6 to find x


\begin{gathered} (6x)/(6)=(84)/(6) \\ x=14 \end{gathered}

Martha is 14 years old

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