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.

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mistyadkinsonmisty mistyadkinsonmisty

26-10-2015
Mathematics

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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.

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kblair2468 kblair2468 · Answer 1 · 2015-10-26T21:28:57+01:00

kblair2468 kblair2468

26-10-2015

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

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