Question

The sum of three consecutive odd integers is 45, how do you find the numbers?

Answer 1

13, 15, 17

Explanation:

Consider three consecutive odd integers `(2n-1), (2n+1), (2n+3)`
Where n is Integer.

If the sum of these odd integers is 45,
Then: `(2n-1) + (2n+1) + (2n+3) = 45`
`6n + 3 = 45`
`6n = 42`
`n = 7`

Substituting `n = 7` into `(2n-1), (2n+1), (2n+3)`
Gives 13, 15, 17

To check: `13 + 15 + 17 = 45`