A number is added to two-third of itself, 1 is subtracted from the sum and the result is divided by 12. If the final result is 12, then find the number.s

Options

A. 20
B. 87
C. 84
D. 74

Answer

b

Explanation

Let the number be x
`(x + (2x)/(3) -1)/(12) = 12`
`(3x + 2x -3)/(36) = 12`
`5x - 3 = 432`
`5x = 435`
`x = 87`
`:.` The number is 87 `(x + (2x)/(3) -1)/(12) = 12`
`(3x + 2x -3)/(36) = 12`
`5x - 3 = 432`
`5x = 435`
`x = 87`
`:.` The number is 87
Hence, the correct option is (b)