Question

Question #dd7b5

Answer 1

I got: `14,15 and 16`

Explanation:

Call your integers:
`n`
`n+1`
`n+2`
we get
`n+(n+1)+(n+2)=45`
`3n=45-3`
`n=42/3=14`

So our integers are:

`14,15 and 16`

Answer 2

13,15,17

Explanation:

There are two methods:
1. Guess random numbers and check
2. Use an equation.

To use an equation, we know that `15*3` is 45, so we can automatically adjust that the middle number is 15.

Then, since it's consecutive, we can just add the right number by 2 then subtract the left number by 2 to get 13, 15, and 17.

This actually works for any other similar situation, for example:

Find 3 consecutive integers that add up to 90.

`90/3=30`.

`30-2=28, 30+2=32`.

`28+30+32=90`.

Note: However, this does depend on the situation at hand, since it can ask for consecutive even or odd integers.