SOLUTION: I'm Very confused on these types of questions : Find the three largest consecutive intergers whose sum is less than 86

Question 912622: I'm Very confused on these types of questions :
Find the three largest consecutive intergers whose sum is less than 86
Answer by ichigo449(30) (Show Source): You can put this solution on YOUR website!
Let x be the least of such integers. Then the other two terms are x+1 and x+2. Now the summation condition translates to: 3x+3<86. Now factor out a 3: 3(x+1)<86. Divide by 3: x+1<86/3. But 86/3 is not an integer and so we apply the ceiling function: Ce(86/3) = 29. Now continue as normal: x<28. Now the desired integers are: 27, 28, 29.
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