SOLUTION: find two consecutive positive odd numbers given that the difference between their reciprocals is 2 divided by 63

SOLUTION: find two consecutive positive odd numbers given that the difference between their reciprocals is 2 divided by 63

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Question 657932: find two consecutive positive odd numbers given that the difference between their reciprocals is 2 divided by 63
Answer by kevwill(135) (Show Source): You can put this solution on YOUR website!
Let the two numbers be x and x+2. Then

Cross-multiplying:

Dividing by 2:

We can solve for x using the quadratic equation with a=2, b=2, and c=-63

And since we're looking for positive numbers:

So the two numbers are 7 and 9.

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