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

120

100

144

Answer Expert Verified

4.3/5

snehitha2

Genius

4.1K answers

7.2M people helped

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