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Three consecutive integers add up to 30. Which integers are they?

Question

Three consecutive integers add up to 30. Which integers are they?

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Solution

Let's denote the three consecutive integers as x, x+1, and x+2.

According to the problem, these three integers add up to 30. So, we can write the equation as:

x + (x+1) + (x+2) = 30

This simplifies to 3x + 3 = 30.

Subtract 3 from both sides to get 3x = 27.

Finally, divide both sides by 3 to solve for x. This gives us x = 9.

So, the three consecutive integers are 9, 10, and 11.

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