SOLUTION: The sum of the reciprocals of two consecutive odd integers is 16 times the reciprocal of their product. Find these integers.

Question 151173: The sum of the reciprocals of two consecutive odd integers is 16 times the reciprocal of their product. Find these integers.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
The sum of the reciprocals of two consecutive odd integers is 16 times the reciprocal of their products. Find these integer.
:
Two consecutive odd integers: x, (x+2)
:
write an equation for following statement
"The sum of the reciprocals of two consecutive odd integers is 16 times the reciprocal of their product."
+ = 16()
:
+ =
Multiply equation by x(x+2)
:
(x+2) + x = 16
;
2x = 16 - 2
x =
x = 7 & 9 are the two consecutive odd integers
;
:
Check solution in original equation:
+ = 16()
+ =
+ =
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