Question

The sum of three consecutive integers is 90. Find the integers

Answer 1

The sum of three consecutive integers is 90. So you know that 3 numbers that are next to each other in numerical order equals 90.

First step: Make an equation:

Let's take x as the smallest of the three numbers.

`x +(x+1)+(x+2)=90`

2nd step: Open the brackets:

`x+x+1+x+2=90`

3rd step: Simplify:

`3x+3=90`

4th step: Keep similar integers on one side of the equation

`3x+3-3=90-3`

5th step: Solve for x:

`3x=87`

`(3x)/(3) =(87)/(3)`

`x=29`

So if the numbers are consecutive, they have to be next to each other.

Answer: 29, 30, 31

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Answer 2

the numbers are 29,30,31.