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Popular Word Problems >

Lauren's age is one third of Joe's age. Emma is three years older than Joe. The sum of Lauren, Emma, and Joe's age is 72. How old is Joe?

Solution

L a u re n^{'} s a g e i s o n e t hi r d o f J o e^{'} s a g e . E mma i s t h ree 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 72. Ho w o l d i s J oe ?

Solution

Joe^{'} s age is : 29 \frac{4}{7}

Solution steps

Translate the problem into an equation:

\frac{1}{3} x + x + 3 + x = 72

Solve for

x, \frac{1}{3} x + x + 3 + x = 72 : x = \frac{207}{7}

Convert improper fractions to mixed numbers:

29 \frac{4}{7}

Joe^{'} s age is : 29 \frac{4}{7}

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