When 1/4 of a number subtracted from 1/3 of the same number, the remained obtained is 12. The number is:

A) 144

B) 72

C) 120

D) 63


1/3 of the number = 1/3(x) =x/3

1/4 of a number subtracted from 1/3 of the number gives 12.

x/3-x/4 =12

x/3×4/4 – x/4×3/3 =12

4x/12 – 3x/12 =12

(4x-3x)/12=12

4x-3x=12×12

x=144

Therefore,the number is 144.

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