Who can solve this intresting equation

13(a-b)=ab
find a & b
lol, i am trying this one from a long time, but could not solve it, the question is correct, can someone solve?

13a-13b=ab so 13a-ab=13b so a(13-b)=13b giving a=13b/(13-b).
This is OK for any value of b except b=13. If you want positive integer solutions
then b=12, a=156 is the only solution. b=14 gives a=-182.

This is only one equation for two unknowns. There are infinitely many solutions. The best you can do is solve for one variable in terms of the other.

13a - 13b = ab
13a - ab - 13b = 0
13a - ab = 13b
(13 - b)a = 13b
a = 13b/(13 - b)

13a-13b-13ab
(a-b) is same thinks .
http://www.shimlahills.com/product-of-se…
http://www.shimlahills.com/juices-rts-ju…

To solve an equation with two unknowns, you actually need 2 equations with those unknowns.