The sum of the reciprocals of two consecutive even integers is 7/24. write an equation that can be used to find the two integers. find the two integers.
a. ; 4 and 6
b. ; 6 and 8
c. ; 6 and 8
d. ; 4 and 6

Sorry that took so long. Calculator was having problems :). Here is how I did it
1/x + 1/(x+2) = 7/24
x+2/(x(x+2)) + x/(x(x+2)) = 7/24
2x+2/(x(x+2)) = 7/24
48x + 48 = 7x^2 + 14x
7x^2 - 34x - 48 = 0 next I used the quadratic formula program on my calculator
(x-6)(x+8/7) so the smaller of the numbers will be 6 and then since we know its the next even the other number will be 8. So 6, 8! Hope this helped