The sum of three consecutive integers is 264. What are the three integers?

2 Answers
Alan P.
Feb 10, 2016

#87, 88, 89#

Explanation:

Let the middle integer be #n#.
Then the three consecutive integers are: #n-1, n, n+1#
and there sum is #3n#

We are told
#color(white)("XXX")3n=264#
Dividing both sides by #3#, we find
#color(white)("XXX")n=88#

So the three numbers are #(n-1,n,n+1) = (87,88,89)#

Veddesh #phi# · A08
Feb 10, 2016

#87, 88, 89#

Explanation:

Let the first number be #x#

Then, second number and third number#=x+1,x+2#

Now given is

#x+(x+1)+(x+2)=264#

#=>x+x+1+x+2=264#

#=>3x+3=264#

#=>3x=261#

#=>x=261/3=87#

Then the next two integers are #x+1=88,x+2=89#

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