find 3 consecutive integers whose sum is 966

Question

Find 3 consecutive integers whose sum is 966

Answer 1

Here is a solution using simple arithmetic.

If you find the average (mean) of three consecutive integers the average will be the middle number.

966/3=322 is the middle number

subtract 1 from 322 to get 321 and add 1 to 322 to get 323

the answers are 321, 322, and 323

If you need to use algebra to get the answers, look at Sanjay S.'s solution.

Answer 2

Marissa,

 

Let the 3 consecutive numbers be x-1, x and x+1

 

The sum is 966

x-1 + x + x+1 = 966

3x = 966

x = 322

 

So the numbers are 321, 322 and 323

 

Hope this helps