SOLUTION: find two consecutive odd numbers such that the sum of the larger number and twice the smaller number is 27 less than four times the smaller number

Algebra ->  Problems-with-consecutive-odd-even-integers -> SOLUTION: find two consecutive odd numbers such that the sum of the larger number and twice the smaller number is 27 less than four times the smaller number      Log On


   

Question 1091439: find two consecutive odd numbers such that the sum of the larger number and twice the smaller number is 27 less than four times the smaller number
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +n+ and +n%2B2+ be the consecutive odd numbers
given:
+n+%2B+2+%2B+2n+=+4n+-+27+
+3n+%2B+2+=+4n+-+27+
+n+=+29+
and
+n+%2B+2+=+31+
The numbers are 29 and 31
---------------------------
check:
+31+%2B+2%2A29+=+4%2A29+-+27+
+31+%2B+58+=+116+-+27+
+89+=+89+
OK