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What number must be subtracted from each of the numbers 53, 21, 41, 17 so that the remainders are in proportion?

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Data inadequate

answer is C.

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Detailed Solution

The given numbers are 53, 21, 41, 17

Suppose that the number subtracted from all the above numbers is $x$

Hence,

$\frac{53 - x}{21 - x} = \frac{41 - x}{17 - x}$

Cross multiply

$\begin{array}{rcl} 901 - 53 x - 17 x + x^{2} & = & 861 - 21 x - 41 x + x^{2} \\ 8 x & = & 40 \\ x & = & 5 \end{array}$

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