SOLUTION: If 1/3= 1/A + 1/B where A and B are different whole numbers, find the value of A and the value of B.

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Question 978321: If 1/3= 1/A + 1/B where A and B are different whole numbers, find the value of A and the value of B.
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
A and B are in relation to each other. Solution elements A and B are infinite.

3AB%281%2F3%29=3AB+%281%2FA%29%2B3AB%281%2FB%29
AB=3B%2B3A
AB-3B=3A
B%28A-3%29=3A
highlight_green%28B=%283A%29%2F%28A-3%29%29

You can find some whole numbered pairs of A and B. Be sure A%3C%3E3.
A=6 is one example which should work.
Try 9 also for A, and see if that works.


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You reported A=4 and B=12.
B=(3A)/(A-3)
12=%283%2A4%29%2F%284-3%29
12=12%2F1
12=12
Yes, that combination works. This is not the only combination that will work. You can find others.