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Lauren's age is half of Joe's age. Emma is two years older than Joe. The sum of Lauren, Emma, and Joe's age is 54. How old is Joe?

Solution

Lauren's age is half of Joe's age. Emma is two years older than Joe. The sum of Lauren, Emma, and Joe's age is 54. How old is Joe?

Solution

Joe^{'} s age is : 20 \frac{4}{5}

Solution steps

Translate the problem into an equation:

\frac{1}{2} x + x + 2 + x = 54

Solve for

x, \frac{1}{2} x + x + 2 + x = 54 : x = \frac{104}{5}

Convert improper fractions to mixed numbers:

20 \frac{4}{5}

Joe^{'} s age is : 20 \frac{4}{5}

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