Question

If 18 is added to a certain number and the sum is divided by 6, the result is 1 more than 14 of the original number. Find the original number.

Answer 1

The original number is 72


(18+x)/6 = 1+14
1/6x + 3 = 1 + 14 (Distribute)
1/6x + 3 = (1+14) (Combine Like Terms)
1/6x + 3 = 15
- 3 = -3 (Subtract 3 From Both Sides)
1/6x = 12
(1/6x)*6 = 12 * 6 (Multiply Both Sides By 6)
x = 72