# What is sum of three consecutive integers is larger then 81?

**27,28,29**

The sum of which is 84.

### Can you identify three consecutive even integers whose sum is 219?

No. The sum of any number of even integers, consecutive or not, MUST be even. 219 is not even. No. The sum of any number of even integers, consecutive or not, MUST be even. 219 is not even. No. The sum of any number of even integers, consecutive or not, MUST be even. 219 is not even. No. The sum of any number of even integers, consecutive or not, MUST be even. 219 is not…

### What are three consecutive even integers whose sum is 32?

That isn't possible; three consecutive integers, or three consecutive positive integers, always have a sum that is a multiple of 3. In general, you can solve this quickly by trial and error. In this case, you will quickly find that a certain set of three consecutive integers will give you a sum that is TOO LOW, while the next-higher even integers will give you a sum that is TOO HIGH. You can also write an…