SOLUTION: The sum of the lease and greatest of three consecutive odd numbers is 110. what are the integers

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Question 112821: The sum of the lease and greatest of three consecutive odd numbers is 110. what are the integers
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!
If the least of three consecutive odd numbers is x, then the next consecutive odd number would be x + 2, and the greatest of the three would be x + 4. But we are told that the sum of the least and the greatest is 110. So we can write:

x%2B%28x%2B4%29=110

Now all we have to do is solve for x.

2x%2B4=110
2x=110-4
2x=106
x=53

Remembering that the question asks for all three of the integers, the complete answer becomes:

53, and 53%2B2=55, and 53%2B4=57.

Check the answer:
53, 55, and 57 are three consecutive odd integers. The least is 53 and the greatest is 57 and 53%2B57=110

Hope this helps.
John