SOLUTION: Richard found three consecutive even integers such that 7 times the sum of the first and third was 48 less than 10 times the second. What were the integers?

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Question 557671: Richard found three consecutive even integers such that 7 times the sum of the first and third was 48 less than 10 times the second. What were the integers?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Call the consecutive even integers
+n+, +n+%2B+2+, and +n+%2B+4+
given:
+7%2A%28+n+%2B+n+%2B+4+%29+=+10%2A%28+n+%2B+2+%29+-+48+
+7%2A%28+2n+%2B+4+%29+=+10n+%2B+20+-+48+
+14n+%2B+28+=+10n+-+28+
+4n+=+-56+
+n+=+-14+
+n+%2B+2+=+-12+
+n+%2B+4+=+-10+
The consecutive even integers are -10, -12, and -14
+7%2A%28+n+%2B+n+%2B+4+%29+=+10%2A%28+n+%2B+2+%29+-+48+
+7%2A%28+-28+%2B+4+%29+=+10%2A%28+-14+%2B+2+%29+-+48+
+7%2A%28-24%29+=+-120+-+48+
+-168+=+-168+
OK