Question 1049905: Find two consecutive even integers such that the sum of twice the lesser and three times the greater is 66. Found 2 solutions by ewatrrr, MathLover1:Answer by ewatrrr(24785) (Show Source):
You can put this solution on YOUR website! two consecutive even integers: x and (x+2)
2x + 3(x+2) = 66
5x = 60
x = 12
The two consecutive even integers are: 12 , 14
AND
24 + 42 = 66 CHECKS!
You can put this solution on YOUR website! Lets call the first integer .
For the second integer to be a consecutive even interger it must be }
so far we have:
first interger =
second interger =
if given that the sum of the and times the is , we have
...............solve for
and, second one is