Question

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

Answer 1

the numbers are 29,30,31.

Answer 2

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:

$3x=87$

$\frac{3x}{3} =\frac{87}{3}$

$x=29$

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

Answer: 29, 30, 31

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