SOLUTION: The sum of the reciprocals of two consecutive even number is 7/24. Find the number...I can't figure out how to do this problem

SOLUTION: The sum of the reciprocals of two consecutive even number is 7/24. Find the number...I can't figure out how to do this problem

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Question 125400: The sum of the reciprocals of two consecutive even number is 7/24. Find the number...I can't figure out how to do this problem
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
is the 1st number
is the 2nd number

multiply both sides by

multiply both sides by 24

I reject this since it's not a whole number and negative
and

The numbers are 6 and 8
check:

multiply both sides by 48

OK
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