When 1/4 of a number is subtracted from 1/3 of the same number, the reminder obtained is 12. The number is?
- 120
- 96
- 98
- 100
- 144
Explanation
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Let the number be x
1/4 of the number = 1/4(x) =x/4
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
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