Fair fax county mathmatics league

[jjuugg]

Ah...

This problem is very interesting.

but,, I don't know how to solve it... T,T

"If a<b, what are both ordered pairs of integers (a,b) which

satisfy a ^b = b ^ a ?"

 

[HallsofIvy]

Yes, that is a very interesting problem. The first thing I would do is start experimenting with a and b small integers. Have you done that? If so, one of the two pairs should come immediately and the other is not too difficult to find.

 

[jjuugg]

yay! i got it! is it two and four?
ah! i should have got this question before..T.T anyways thank you><

 

[Pere Callahan]

(2,4) is one of the two pairs ...