SOLUTION: find two consecuive positive integers if the difference of their reciprocals is 1/12
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Question 146233: find two consecuive positive integers if the difference of their reciprocals is 1/12
Answer by nabla(475) (Show Source): You can put this solution on YOUR website!
a
a+1
This implies
Gives a=-4 or a=3, a must be positive so we exclude -4 from the answer set.
So the numbers are 3, 3+1=4
Now, check:
1/3 -1/4=4/12 -3/12=1/12.
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