Question

Write an equation in each sentence. Analyze and solve.3. Find three consecutive integers whose sum is 99. Find the integers.

Answer 1

Given that the Sum of three consecutive integers is:

`99`

Let be:

- The first integer:

`n`

- The second integer:

`n+1`

- And the third integer:

`n+2`

By definition, the Sum is the result of an Addition.

Therefore, in this case, you can set up the following equation:

`n+(n+1)+(n+2)=99`

When you solve for "n", you get:

`n+n+1+n+2=99`
`3n+3=99`
`3n=99-3`
`3n=96`
`\begin{gathered} n=(96)/(3) \\ \\ n=32 \end{gathered}`

Now that you know that first integer, you can determine that the other consecutive integers are:

`n+1=32+1=33`
`n+2=32+2=34`

Hence, the answer is:

`\begin{gathered} 32 \\ 33 \\ 34 \end{gathered}`