First off, we need to signify the integers after closely reading the problem. We start by saying, x = the an initial integer. Every consecutive integer is 1 location away from x, so then x + 1, climate x + 2. The amount always method addition. For this reason we deserve to then collection up the equation as: x + (x +1) + (x + 2) = -15.

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

Subtract 3 from both sides. We gain 3x = -18. Then divide both next by 3. We obtain x = -6.

Finally we go back to ours variables, and also plug in the value for x = -6. We obtain -6, -5, and -4. If we include all of this up we get -15, together -6 -5 - 4 = -15. We room done at this point.

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

You are watching: Find three consecutive integers with a sum of

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

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

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

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Stevie L.

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