SOLUTION: One-fifth of sum of two consecutive integers is 22 less than the smaller integer. Find the smaller of the two integers.

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Question 297121: One-fifth of sum of two consecutive integers is 22 less than the smaller integer.
Find the smaller of the two integers.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Call the consecutive integers n and n%2B1
given:
%281%2F5%29%2A%28n+%2B+n+%2B+1%29+=+n+-+22
Multiply both sides by 5
2n+%2B+1+=+5%2A%28n+-+22%29
2n+%2B+1+=+5n+-+110
3n+=+111
n+=+37 answer
check:
%281%2F5%29%2A%28n+%2B+n+%2B+1%29+=+n+-+22
%281%2F5%29%2A%2874+%2B+1%29+=+37+-+22
75%2F5+=+15
75+=+75
OK