Question

one third of a number exceeds one fourth of the number by 15.find the number

Answer 1

Let the number be x

ATQ-x/3-x/4=15  (LCM IS 12)

4x-3x/12=15

x/12=15 

x=15*12  (transporting x from LHS to RHS)

x=180

Answer 2

let that number is x
a/q,
         $\frac{x}{3} = \frac{x}{4} +15$
$or, \frac{x}{3} - \frac{x}{4} =15$
$or, \frac{4x-3x}{12} = 15$
$or, x = 180$
therfore number = 180