SOLUTION: Find three consecutive odd integers such that the sum of the first two is 69 more than the third.

Algebra ->  Problems-with-consecutive-odd-even-integers -> SOLUTION: Find three consecutive odd integers such that the sum of the first two is 69 more than the third.      Log On


   



Question 830820: Find three consecutive odd integers such that the sum of the first two is 69 more than the third.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Odd integers are every other number, so
I can call them:
+n+, +n%2B2+, and +n%2B4+
------------------------------
+n+%2B+n+%2B+2+=+n+%2B+4+%2B+69+
+2n+%2B+2+=+n+%2B+73+
+n+=+73+-+2+
+n+=+71+
-------------
The number are 71, 73, and 75
check:
+n+%2B+n+%2B+2+=+n+%2B+4+%2B+69+
+71+%2B+73+=+75+%2B+69+
+144+=+144+
OK