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Popular Word Problems >

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

Solution

L a u re n^{'} s a g e i s ha l f o f J o e^{'} s a g e . E mma i s t e n ye a rs o l d er t han J oe . T h e s u m o f L a u re n, E mma, an d J o e^{'} s a g e i s 54. Ho w o l d i s J oe ?

Solution

Joe^{'} s age is : 17 \frac{3}{5}

Solution steps

Translate the problem into an equation:

\frac{1}{2} x + x + 10 + x = 54

Solve for

x, \frac{1}{2} x + x + 10 + x = 54 : x = \frac{88}{5}

Convert improper fractions to mixed numbers:

17 \frac{3}{5}

Joe^{'} s age is : 17 \frac{3}{5}

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