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Question

What number must be subtracted from each of the numbers 27,38,7,8, so that the remainders are in proportion?

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Solution

27, 38, 7, 8
Let x be subtracted (27x), (38x), (7x), (8x)
So
(27x)(7x)=(38x)(8x)
18927x7x+x2=30438x8x+x2
18934x=30446x
46x34x=304189
12x=115
x=11512
x=9.58


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