SOLUTION: ten times the smallest of three consecutive integers is 22 more than three times the sum of the integers

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Question 947443: ten times the smallest of three consecutive integers is 22 more than three times the sum of the integers
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let the consecutive integers be:
+n+, +n%2B1+, and +n%2B2+
-----------------------------
+10n+=+3%2A%28+n+%2B+n+%2B+1+%2B+n+%2B+2+%29+%2B+22+
+10n+=+3%2A%28+3n+%2B+3+%29+%2B+22+
+10n+=+9n+%2B+9+%2B+22+
+n+=+31+
+n+%2B+1+=+32+
+n+%2B+2+=+33+
The consecutive integers are 31, 32, and 33
check:
+10n+=+3%2A%28+3n+%2B+3+%29+%2B+22+
+10%2A31+=+3%2A%28+3%2A31+%2B+3+%29+%2B+22+
+310+=+3%2A96+%2B+22+
+310+=+288+%2B+22+
+310+=+310+
OK