5

Part of 1988 India National Olympiad

Problems(1)

Indian Mathematical Olympiad 1988 - Problem 5

Source:

Show that there do not exist any distinct natural numbers

a

b

c

d

such that a^3\plus{}b^3\equal{}c^3\plus{}d^3 and a\plus{}b\equal{}c\plus{}d.

quadraticsnumber theory proposednumber theory