SOLUTION: Five times a number is divided by 7 more than that number. If the result is 8, then what was the original number?

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Question 1209049: Five times a number is divided by 7 more than that number. If the result is 8, then what was the original number?
Answer by ikleyn(52777) About Me  (Show Source):
You can put this solution on YOUR website!
Five times a number is divided by 7 more than that number.
If the result is 8, then what was the original number?
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Let "n" be the number.


Write equation as you read the problem

    %285n%29%2F%28n%2B7%29 = 8.


To solve it, multiply both sides by n+7  (which is not zero, according to the problem).
You will get

    5n = 8(n+7)

    5n = 8n + 56

    -56 = 8n - 5n

    -56 = 3n

      n = -56%2F3 = -182%2F3.    ANSWER

Solved.