SOLUTION: Okay. Heres a question I absolutely do NOT get. If a certain number is decreased by 8 and that difference is multiplied by 8, the result is equal to the result obtained if the num

SOLUTION: Okay. Heres a question I absolutely do NOT get. If a certain number is decreased by 8 and that difference is multiplied by 8, the result is equal to the result obtained if the num

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Question 220214: Okay. Heres a question I absolutely do NOT get.
If a certain number is decreased by 8 and that difference is multiplied by 8, the result is equal to the result obtained if the number is decreased by 6 and that difference is multiplied by 6. Find the numbers.
In my opinion this is a make-believe question :(
Help please.
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

I'm not certain what you mean by a 'make-believe' question. Virtually every mathematics word problem is a contrivance of some sort to illustrate one or more mathematical concepts. This one is no exception.

Let

represent the number. The number decreased by 8 is then

which expression is the difference. Multiplying this difference by 8 gives us:

. Likewise 6 times the difference of the number and 6 is:

. We are given that these two quantities are equal so:

All you need to do now is solve the equation for

John

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