The sum of four consecutive integers is 18. What is the greatest of these integers?

To find the greatest of four consecutive integers that sum up to 18, we can start by letting the first integer be represented as x. The next three consecutive integers can then be expressed as x + 1, x + 2, and x + 3.

Now, we can write an equation to represent their sum:

x + (x + 1) + (x + 2) + (x + 3) = 18

Simplifying the left side, we get:

4x + 6 = 18

Next, we can subtract 6 from both sides:

4x = 12

Now, divide by 4:

x = 3

So, the four consecutive integers are:

  • 3 (first integer)
  • 4 (second integer)
  • 5 (third integer)
  • 6 (fourth integer)

Thus, the greatest of these integers is 6.

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