SOLUTION: The sum of four consecutive odd integers is 112. What is the greatest of the four integers?

Algebra.Com
Question 486952: The sum of four consecutive odd integers is 112. What is the greatest of the four integers?
Answer by John10(297)   (Show Source): You can put this solution on YOUR website!
Let x be the SMALLEST ODD integer then
the next odd number is x + 2
---------------------- x + 4
---------------------- x + 6
Their sum is 112
x + (x + 2) + (x + 4) + (x + 6) = 112
4x + 12 = 112
4x = 112 - 12
4x = 100
x = 100/4
x = 25
Thus the four numbers are 25, 27, 29, and 31
Check: 25 + 27 + 29 + 31 = 112
John10:)

RELATED QUESTIONS

The sum of four consecutive odd integers is 112. What is the greatest of the four... (answered by Alwayscheerful,mmm4444bot)
The sum of four consecutive odd integers is 24. What is the four... (answered by Alan3354)
the sum of four consecutive integers is 250, what is the greatest of these... (answered by neatmath)
The sum of four consecutive odd integers is 328. What is the largest of the integers? (answered by greenestamps)
Find four consecutive odd integers such that the sum of the two greatest is four times... (answered by CubeyThePenguin)
the sum of four consecutive odd integers is... (answered by rfer)
the sum of four consecutive odd integers is 184. what are the... (answered by edjones)
The sum of four consecutive odd integers is 216. Find the four... (answered by mjgulinello,Fombitz)