Each of X and Y is a positive integer with X ≤ Y. The quotient and the remainder obtained upon dividing X2 + Y2 by X+Y are respectively denoted by Q and R.
Determine all possible pairs (X, Y) such that Q2 + R = 1977
This problem has been out of circulation for quite some time. Why? When is it likely to come back into favour?
I don't know the answers to these. It doesn't seem to be because of the year, as in requesting 2010, we have
x=31 y=53 numerator=3770 denominator=84 quotient =44 remainder=74
There isn't one for 2011, but for 2012 we have
x=34 y=52 numerator=3860 denominator=86 quotient = 44 remainder=76
Posted by Charlie
on 2011-02-08 22:32:00