SOLUTION: the sum of three consecutive numbers is equal to six times the smallest number Find the numbers

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Question 585367: the sum of three consecutive numbers is equal to six times the smallest number Find the numbers
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let the numbers be n, n%2B1, and +n+%2B+2
given:
+n+%2B+n+%2B+1+%2B+n+%2B+2+=+6n+
+3n+%2B+3+=+6n+
+3n+=+3+
+n+=+1+
+n+%2B+1+=+2+
+n+%2B+2+=+3+
The numbers are 1,2, and 3
check:
+n+%2B+n+%2B+1+%2B+n+%2B+2+=+6n+
+1+%2B+1+%2B+1+%2B+1+%2B+2+=+6%2A1+
+6+=+6+
OK