I need help solving this problem:
The sum of the reciprocals of two consecutive integers is 5/6 (this should look like a fraction 5 over 6).
Find the integers.
Thank you in advance. It says in the directions if there is no solution to write "no solution".
Let the consecutive integers be n and n+1:
The LCD is
Multiply through by this LCD
gives solution
gives solution
We discard the fractional solution, since it is not an integer.
So the only solution is 2,
so the consecutive integers are 2 and 3:
Checking:
It checks.
Edwin