SOLUTION: One fifth of the sum of two consecutive integers is 10 less than the smaller integer. Find the integers.

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Question 845155: One fifth of the sum of two consecutive integers is 10 less than the smaller integer. Find the integers.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let the integers be +n+ and +n%2B1+
given:
+%281%2F5%29%2A%28+n+%2B+n+%2B+1+%29+=+n+-+10+
+2n+%2B+1+=+5%2A%28+n+-+10+%29+
+2n+%2B+1+=+5n+-+50+
+3n+=+51+
+n+=+17+
+n+%2B+1+=+18+
the integers are 17 and 18
check:
+%281%2F5%29%2A%28+17+%2B+18+%29+=+17+-+10+
+7+=+7+
OK