Three consecutive integers have a sum of 84, what are the integers?

2 Answers
Apr 12, 2018

Answer:

#27+28+29 =84#

Explanation:

As the integers are consecutive we could let them be:

#x, x+1 and x+2#

Their sum is #84#

#x+x+1+x+2 = 84#

#3x +3=84#

#3x = 81#

#x = 27#

This is the smallest of the integers which are:

#27, 28 ,29#

Apr 12, 2018

Answer:

#27,28 " and " 29 #

Explanation:

Let the first be #n#, and if they are consecutive then the next two numbers are #n+1# and #n+2 #

The sum means addition:

#n+(n+1)+(n+2) = 84 #

Collect like terms:

#3n+3 = 84 #

#=> 3n = 81 #

#=> n = 27#

Hence numbers are #n, n+1 , n+2 -> 27, 28 " and " 29 #