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06-07-2015
Mathematics

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Find the number such that if 16 be subtracted from it,1/7 of the remainder will be equal to 1/9 of the number.

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06-07-2015

x - the number

[tex]\frac{1}{7}(x-16)=\frac{1}{9}x \ \ \ \ \ |\times 63 \\ 9(x-16)=7x \\ 9x-144=7x \ \ \ \ \ \ \ |-9x \\ -144=-2x \ \ \ \ \ \ \ \ \ |\div (-2) \\ x=72[/tex]

The number is 72.

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