Question:What number should be subtracted from each of the numbers `23, 30, 57` and `78`so that the remainders may be proportional ? 

A `4` 
B `5` 
C `6` 
D `7` 

+ Answer
C 

+ Explanation
Let `(23 - x)/(30 - x) = (57 - x)/(78 - x)`.

`:. (23 - x)(78 - x) = (57 - x)(30 - x)`

or `- 101x + 1794 = 1710 - 87x`

`iff 14x = 84`

`iff x = 6`.

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Md. Habib Ullah

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