12

Part of 2018 Iran MO (1st Round)

Problems(1)

(a,b,c) such that a, b, c divide a+b+c - Iran First Round 2018, P12

Source:

How many triples

(a,b,c)

of positive integers strictly less than

51

are there such that

a+b+c

is divisible by

a, b

c

number theoryDivisibility