SOLUTION: the sum of the reciprocals of 2 consecutive integers is 25 over 156. find the integers.
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Question 894823: the sum of the reciprocals of 2 consecutive integers is 25 over 156. find the integers.
Answer by josgarithmetic(39621) (Show Source): You can put this solution on YOUR website!
n and n+1 are the consecutive integers.
Lowest common denominator is 156n(n+1); so multiply both sides by this.
---THE MISTAKE HERE!!!
---should be factorable, but not worth the effort.
NO. Not sensible. 83617 is not a square number. n will not be an integer.
Solution that works: The numbers are 12 and 13.
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