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26 October, 11:13

A piece of lumber which is 55 inches long is cut into two parts such that 2 times the larger part will be 12 more than 5 times the smaller part. How long are each piece?

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  1. 26 October, 12:48
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    Let x=the smaller part

    Then 55-x=the larger part

    Now we are told the following:

    2 (55-x) = 5x+12 simplify

    110-2x=5x+12 add 2x to and subtract 12 from each side

    110-2x+2x-12=5x+2x+12-12 collect like terms

    98=7x
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