Question

One-half of a number is 1 more than one-third of the same number. What is the number?

Answer 1

Let the number be x,
(1/2)x=1+(1/3)x
Solving for x,
(1/2)x-(1/3)x=1+(1/3)x-(1/3)x
(1/2)x-(1/3)x=1
(1*3/6)x-(1*2/6)x=1
(3/6)x-(2/6)x=1
(1/6)x=1
6*(1/6)x=6*1
Therefore, x=6

Answer 2

(1/2)x = (1/3)x +1
-(1/3)x  -(1/3)x 

(1/6)x=1
*6        *6
x=6

And so x=6, or your number is 6