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Ed added 32 inches to 1/8 of Nancy's height. Steve doubled Nacy's height and then subtracted 88 inches. If Steve and Ed ended up with the same numbers, how tall is Nancy?

1 Answer

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(1)/(8)N+32=2N-88\\(1)/(8)N+32-(1)/(8)N=(16)/(2)N-88-(1)/(8)N\\32=(15)/(8)N-88\\32+88=(15)/(8)N-88+88\\120=(15)/(8)N\\120*8=(15)/(8)N*8\\960=15N\\(960)/(15)=(15N)/(15)\\64=N

Nancy is 64 inches tall, or 5 feet 4 inches.
User Dbaston
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