Question

If the sum of three consecutive odd integers is 201, what are the integers?

Answer 1

`color(blue)(65, 67, 69)`

Explanation:

If the middle number is `n`
then the tree numbers are `n-2, n, and n+2`
and
their sum is `3n`

We are told that the sum is `201`
So
`color(white)("XXX")3n=201`

`color(white)("XXX")rarr n=67`

So the numbers are `65, 67, and 69`