SOLUTION: find three consecutive odd integers such that the sum of the first two is 29 more than the third

Question 548494: find three consecutive odd integers such that the sum of the first two is 29 more than the third
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
Let the lesser of the three consecutive odd integers be .
Consecutive odd integers differ by 2.
The other two consecutive odd integers would be , and .
Do not worry about their being odd at this point. We can always discard any even solutions at the end. (And, by the way, we would set the problem the same way if it was about three consecutive even numbers).
The sum of the first two is .
29 more than the third is
The problem says that those two expressions have the same value, so we write

Then we simplify those expressions
<--> <--> <-->
Then we subtract 2 from both sides
<--> <-->
Then we subtract n from both sides
<--> <-->
So our first odd integer is 32. The others are 33 and 35.
Let's verify. The sun of the first 2 is
and 29 more than the third one is .
We found the three consecutive odd integers the problem talks about. They are
31, 33, and 35.
RELATED QUESTIONS
Find three consecutive odd integers such that the sum of the first two is 69 more than... (answered by josmiceli)

find three consecutive odd integers such that three times the sum of the first two... (answered by ankor@dixie-net.com)

Find three consecutive odd integers such that the sum of the first and second is 5 more... (answered by f_alsafi)

Find the largest of three consecutive odd integers such that the sum of the first two... (answered by checkley77)

Find the largest of three consecutive odd integers such that the sum of the first two... (answered by LtAurora)

Find the largest of three consecutive odd integers such that the sum of the first two... (answered by solver91311)

find three consecutive integers such that the sum of the first two integers is 24 more... (answered by checkley71)

Find three consecutive integers such that the sum of the first two integers is 24 more... (answered by actuary)

Find three consecutive integers such that the sum of the first two integers is 24 more... (answered by Mathtut,EMStelley)