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

Question 112821: The sum of the lease and greatest of three consecutive odd numbers is 110. what are the integers
Answer by solver91311(24713) (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:

Now all we have to do is solve for x.

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

, and , and .

Check the answer:
53, 55, and 57 are three consecutive odd integers. The least is 53 and the greatest is 57 and

Hope this helps.
John
RELATED QUESTIONS
The sum of three consecutive odd integers is less than 100. what are the greatest... (answered by Alan3354)

the sum of three consecutive odd integers is 33. what is the product of the least and the (answered by Alan3354,sanadei,lenny460)

The sum of three consecutive odd integers is 1035. What are the... (answered by stanbon,Alan3354,MathTherapy)

the sum of three consecutive odd integers is the same as five times the greatest of these (answered by Alan3354)

For three consecutive odd integers, the sum of the least and greatest is 146. What is the (answered by drj,josmiceli)

im confused on how to solve the following: the sum of three consecutive odd integers is (answered by Alan3354)

What are five consecutive odd integers from least to greatest in which the sum of the... (answered by oberobic)

Three consecutive odd integers are such that their sum is more than 57 decreased by twice (answered by stanbon,TeachMath)

the sum of three consecutive odd integers is the same as the smallest of these integers.... (answered by bucky)