SOLUTION: If the sum of 3 consecutive integers is 150 then the sum of the two smaller integers is...

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Question 1053188: If the sum of 3 consecutive integers is 150 then the sum of the two smaller integers is...
Found 2 solutions by josmiceli, ikleyn:
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let the 3 consecutive integers be:
+n+, +n%2B1+, and +n%2B2+
------------------------------
+n+%2B+n+%2B+1+%2B+n+%2B+2+=+150+
+3n+%2B+3+=+150+
+3n+=+147+
+n+=+49+
and
+n%2B1+=+50+
+n%2B2+=+51+
-----------------
check:
+3n+%2B+3+=+150+
+3%2A49++%2B+3+=+150+
+147+%2B+3+=+150+
+150+=+150+
OK
--------------------
+49+%2B+50+=+99+
the sum of the 2 smaller integers is 99

Answer by ikleyn(52778) About Me  (Show Source):
You can put this solution on YOUR website!
.
49 + 50 = 99.