SOLUTION: The sum of 5 consecutive odd integers is 175. Write and solve and equation to find k, the smallest integer.

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Question 393468: The sum of 5 consecutive odd integers is 175. Write and solve and equation to find k, the smallest integer.
Answer by neatmath(302) About Me  (Show Source):
You can put this solution on YOUR website!

Let k be the smallest integer.

Then the 5 consecutive odd integers are:

k, k+2, k+4, k+6, k+8

So we can easily see that their sum is:

k%2Bk%2B2%2Bk%2B4%2Bk%2B6%2Bk%2B8=175

5k%2B20=175

5k=155

k=31

Thus, the smallest odd integer is 31.

I hope this helps!