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Johnny's age is three times Alex's age. The sum of their ages is 72. What is Alex's age?

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Assume that Alex's age is x

Since Johnny's age is three times Alex's age, so Johnny's age is 3 x

Since the sum of their ages is 72, add their ages and equate the sum by 72


x\text{+3x = 72}
4x=72

Divide both sides by 4 to find x


\begin{gathered} (4x)/(x)=(72)/(4) \\ x=18 \end{gathered}

So Alex's age is 18 years

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