SOLUTION: a number is divided by -6, and the result is 24. What is the original number?

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Question 517433: a number is divided by -6, and the result is 24. What is the original number?

Answer by bucky(2189) About Me  (Show Source):
You can put this solution on YOUR website!
It always helps to identify the unknown as the first step. Let's call the unknown number X. X will represent the original number.
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You are told that the unknown original number is to be divided by -6. So let's do that as follows:
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X%2F-6
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Then we are told that the answer to that division is 24. So let's set it equal as shown below:
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X%2F-6+=+24
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We can solve this by multiplying both sides of this equation by -6 to get rid of the denominator:
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%28-6%29%2AX%2F-6+=+%28-6%29%2A24
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On the left side cancel the -6 multiplier with the -6 in the denominator:
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cross%28-6%29%2AX%2Fcross%28-6%29+=+%28-6%29%2A24
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What's left is:
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X+=+%28-6%29%2A24
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Multiply out the right side and you then have solved for X the original number.
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X+=+-144
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That's the answer. You can check by dividing -144 by -6 and see if you don't get an answer of 24. (You should).
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Hope this refreshes your memory on how to solve problems like this one.
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