###### Asked in Math and ArithmeticAlgebraNumbers

Math and Arithmetic

Algebra

Numbers

# What is the solution set of the sum of two consecutive integers is less than 450 Find the pair of integers with the greatest sum?

## Answer

###### Wiki User

###### January 22, 2008 1:01PM

224, 225

## Related Questions

###### Asked in Algebra

### 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 equation and solve it: n + (n + 2) + (n +
4) = 32. If you solve it, you will find that the solution is
fractional, not integral.