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?



Answer :

[tex]\frac{1}{8}N+32=2N-88\\\frac{1}{8}N+32-\frac{1}{8}N=\frac{16}{2}N-88-\frac{1}{8}N\\32=\frac{15}{8}N-88\\32+88=\frac{15}{8}N-88+88\\120=\frac{15}{8}N\\120*8=\frac{15}{8}N*8\\960=15N\\\frac{960}{15}=\frac{15N}{15}\\64=N[/tex]

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

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