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07-02-2015
Mathematics

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A number, plus one-third of itself, plus one-eighth of itself, equals 70. What is the number?

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07-02-2015

x - the number

[tex]x+\frac{1}{3}x+\frac{1}{8}x=70 \\ \frac{24}{24}x+\frac{8}{24}x+\frac{3}{24}x=70 \\ \frac{35}{24}x=70 \\ x=70 \times \frac{24}{35} \\ x=2 \times 24 \\ x=48[/tex]

The number is 48.

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