The sum of three consecutive integers is 183. What are the integers?

Question

asked May 10, 2021 234k views

2 Answers

Carlos Afonso · Answer 1 · 2021-05-12T18:09:07+0000

Answer:

60, 61, 62

Explanation:

Let's call our first integer n.

The other two, since they are consecutive, will be n+1, and n+2.

First number: n

Second number: n + 1

Third number: n + 2

The sum of these 3 will be:

$n + (n+1) + (n+2)\\3n + 1 + 2\\3n + 3$

We know that the sum, 3n+3, is equal to 183. Let's set these two equal to each other and solve the equation.

3n+3 = 183

Subtract 3 from both sides.

3n = 180

Divide both sides by 3.

n = 60

Now that we know n, we can find the values of all 3 integers.

First number, n:

n = 60

Second number, n+1:

n + 1 = 60 + 1 = 61

Third number, n + 2:

n + 2 = 60 + 2 = 62

Answer: 60, 61, 62