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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? Also Joe was lying about his age and is 5 years older

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? Also Joe was lying about his age and is 5 years older

Solution

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

Solution steps

Translate the problem into an equation:

\frac{1}{2} x + x + 4 + x = 234

Solve for

x, \frac{1}{2} x + x + 4 + x = 234 : x = 92

Find Pat's age

: 36 \frac{4}{5}

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

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