The sum of three consecutive integers is 57. What are the integers?

1 Answer
May 1, 2018

The numbers are #18,19,20#

Explanation:

consecutive integers are those which follow on directly from one to the next, like #27,28,29,30 ..#

In algebra we can write them as #" "x," "x+1," "x+2," "x+3 #

The three numbers we want add up to #57#

#x+x+1+x+2 =57#

#3x +3 = 57#

#3x = 57-3#

#3x =54#

#x = 18#

This is the first of the numbers, the other are #19 and 20#