Question

Half of a number is three more than one sixth of the same number. what is the number?

Answer 1

Answer:

Step-by-step explanation:

Let X be the number you want to find.

X/2 = X/6 + 3  This is the equation corresponding to the word problem.

To make thing simpler, multiply X/2 by #/3 to get 3X/6.  

3X/6 = X/6 + 3

Subtract X/6 from both sides

3X/6 - X/6 = (X/6 - X/6) + 3

(3-1)X/6 = 2X/6 = 3

Multiply both sides by 6 to get

2X = 3*6 = 18  

Divide both sides by 2 to get X = 18/2 = 9. That is the answer.

Check: 9/2 = 4 1/2 = 4.5.  Next, 9/6 = 1 1/2 = 1.5 Add 3 to get 1.5 + 3 = 4.5. The answer is confirmed.