SOLUTION: The sum of two consecutive od numbers is equal to 43 more than 1/3 the larger number.Find both numbers and show your work.

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: The sum of two consecutive od numbers is equal to 43 more than 1/3 the larger number.Find both numbers and show your work.      Log On


   

Question 441287: The sum of two consecutive od numbers is equal to 43 more than 1/3 the larger number.Find both numbers and show your work.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Every other number is odd, so I can call the
numbers +n+, and +n%2B+2+.
given:
+n+%2B+n+%2B+2+=+%281%2F3%29%2A%28n+%2B+2%29+%2B+43+
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Solve for n and n%2B2
+2n+%2B+2+=+%281%2F3%29%2A%28n+%2B+2%29+%2B+43+
Multiply both sides by 3
+6n+%2B+6+=+n+%2B+2+%2B+129+
+5n+=+131+-+6+
+5n+=+125+
+n+=+25+
+n+%2B+2+=+27+
The numbers are 25 and 27
check:
+n+%2B+n+%2B+2+=+%281%2F3%29%2A%28n+%2B+2%29+%2B+43+
+50+%2B+2+=+%281%2F3%29%2A%2825+%2B+2%29+%2B+43+
+52+=+27%2F3+%2B+43+
+52+=+9+%2B+43+
+52+=+52+
OK