SOLUTION: The sum of the reciprocals of two consecutive even integers is 5/12. Determine the two integers by setting up a rational equation to solve.

Algebra ->  Rational-functions -> SOLUTION: The sum of the reciprocals of two consecutive even integers is 5/12. Determine the two integers by setting up a rational equation to solve.      Log On


   

Question 1160493: The sum of the reciprocals of two consecutive even integers is 5/12. Determine the two integers by setting up a rational equation to solve.
Answer by ikleyn(52877) About Me  (Show Source):
You can put this solution on YOUR website!
.

1%2Fn + 1%2F%28n%2B2%29 = 5%2F12,


and we look for even integer n.



You can reduce to quadratic equation and solve it formally.


Or you can easily guess the solution n = 4.     <<<---=== ANSWER


CHECK.  1%2F4 + 1%2F6 = 3%2F12 + 2%2F12 = 5%2F12.   ! Precisely correct !