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Lauren's age is half of Joe's age. Emma is four years older than Joe. Pat is 4/5 of Lauren's and Joe's age squared. The sum of Lauren, Emma, and Joe's age is 234. How old is Pat?

Solution

Lauren's age is half of Joe's age. Emma is four years older than Joe. Pat is \frac{4}{5} of Lauren's and Joe's age squared. The sum of Lauren, Emma, and Joe's age is 234. How old is Pat?

Solution

Pat^{'} s age is : 36 \frac{4}{5}

Solution steps

Translate the problem into an equation:

\frac{1}{2} (x - 4) + x + x - 4 = 234

Solve for

x, \frac{1}{2} (x - 4) + x + x - 4 = 234 : x = 96

Find Pat's age

: 36 \frac{4}{5}

Pat^{'} s age is : 36 \frac{4}{5}

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