SOLUTION: Find two consecutive even integers such that the lesser added to three times the greater gives a sum of 46.

Algebra ->  Coordinate Systems and Linear Equations  -> Lessons -> SOLUTION: Find two consecutive even integers such that the lesser added to three times the greater gives a sum of 46.      Log On


   

Question 101996This question is from textbook Beginning Algebra
: Find two consecutive even integers such that the lesser added to three times the greater gives a sum of 46. This question is from textbook Beginning Algebra

Answer by mathemanic(13) About Me  (Show Source):
You can put this solution on YOUR website!
(Note: remember that the difference between two consecutive even integers is two)
Suppose the first integer is a and the second one is a+2, therefore:
+a+%2B+3%2A%28a+%2B+2%29+=+46+
+a+%2B+3a+%2B+6+=+46+
+a+%2B+3a+=+46+-+6+
+4a+=+40+
+a+=+10+
Therefore, the first integer is 10 and the second is 12.
Cheers :)