MathDB

1

Part of 2002 Chile National Olympiad

Problems(1)

sum of lucky numbers divisible by 2002 - Chile 2002 L2 P1

Source:

9/1/2022
A Metro ticket, which has six digits, is considered a "lucky number" if its six digits are different and their first three digits add up to the same as the last three (A number such as 026134026134 is "lucky number"). Show that the sum of all the "lucky numbers" is divisible by 20022002.
chilean NMOnumber theory