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

2 Answers
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)

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