SOLUTION: the sum of the reciprocals of two consecutive even integers is 21/220. find the two integers.

Question 851631: the sum of the reciprocals of two consecutive even integers is 21/220. find the two integers.
Answer by ewatrrr(24785) (Show Source): You can put this solution on YOUR website!

 

Hi,

two consecutive even integers:  x and (x+2)

Question States***



      | Cross Multiplying 

   220(2x+2) = 21(x^2 + 2x)

   x^2 - 398x - 440 = 0 



    (Tossing out the negative solution for unit measure)

   x = 20, two consecutive even integers are; 20, 22

CHECKING our answer***



Wish You the Best in your Studies.

 

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