First off, we require to signify the integers after closely reading the problem. We start by saying, x = the an initial integer. Every consecutive creature is 1 location away native x, so climate x + 1, climate x + 2. The sum always means addition. For this reason we can then set up the equation as: x + (x +1) + (x + 2) = -15.

By combining choose terms us get: 3x + 3 = -15 (Meaning we add up every one of the x(s) and numbers)

Subtract 3 indigenous both sides. We gain 3x = -18. Then division both next by 3. We get x = -6.

Finally us go back to ours variables, and plug in the worth for x = -6. We get -6, -5, and also -4. If we include all of this up we obtain -15, as -6 -5 - 4 = -15. We space done in ~ this point.

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Consecutive integers are integers the come one after ~ the other, choose 1,2,3. So, if our starting integer is x, the next two would be x+1 and also x+2.

You are watching: 3 consecutive integers whose sum is

So, currently we can set up the problem like this:

x + (x+1 )+ (x+2)= -15 , i m sorry we deserve to simplify to 3x + 3 = -15 (because us grouped the x"s together, and included the staying integers).

Now, we subtract 3 native both sides to gain 3x = -18. Division both sides by 3, and also you have actually x = -6.

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Stevie L.

Sorry, ns didn"t point out that the three consecutive numbers would be -6, -5, and also -4.Report

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