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

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Hi George,

First, I suspect that the word and should be is. The product of the lesser and -5 is 28 more than the greater integer. In that case, the equation should be -5(N-8) = N + 28. In that case you can solve for N = 2 and N-8 = -6

Let x + 8 = the larger integer

The product of the lesser integer and -5 is -5x, That product is 28 more than the greater integer.

We can construct the following equation:

-5x = x+8 + 28

-5x = x + 36

-6x = 36

x = -6

The smaller integer is -6.

Since the greater number is 8 more than the lesser one, -6 + 8 = 2. The larger integer is 2.

CHECK:

2 - 8 = -6

-5(-6) = 2 + 28

36 = 26

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