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One integer is 8 less than another integer. The product of the lesser integer and -5 is 28 more than the greater integer. What are the integers?

User Efirat
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1 Answer

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Let the lesser integer be "x".

So, the greater integer will be "x + 8".

Given,

Product of lesser and "-5" is 28 MORE THAN greater.

We can write the equation as:


x*-5=(x+8)+28

We can simplify this equation and solve for x. The steps are shown below:


\begin{gathered} x*-5=(x+8)+28 \\ -5x=x+36 \\ -5x-x=36 \\ -6x=36 \\ x=(36)/(-6) \\ x=-6 \end{gathered}

Less integer (x) is -6, and

Greater integer (x+8) is -6 + 8 = 2

Answer

-6 and 2

User TakeItEasy
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