SOLUTION: explain why the following has no solution: find three consecutive whole numbers whose sum is 102.

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Question 11809: explain why the following has no solution:
find three consecutive whole numbers whose sum is 102.

Answer by askmemath(368) About Me  (Show Source):
You can put this solution on YOUR website!
Actually it does have a solution 33,34,35
Sum = 33+34+35 = 102
3 consecutive numbers can be written as n,n+1,n+2

Sum = n+n+1+n+2+n+3 = 102
3n+3= 102
3n = 99 (Subtracting 3 on both sides)
n = 33 (Dividing by 3 on both sides)