SOLUTION: if three times the smaller of two consecutive integers is added to four times the larger, the result is 137. Find both integers.

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Question 628351: if three times the smaller of two consecutive integers is added to four times the larger, the result is 137. Find both integers.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let the consecutive integers = +n+ and +n+%2B+1+
given:
+3n+%2B+4%2A%28+n+%2B+1+%29+=+137+
+3n+%2B+4n+%2B+4+=+137+
+7n+=+133+
+n+=+19+
+n+%2B+1+=+20+
The integers are 19 and 20