Question 184
Awarded Cards - A store distributes 9999 cards among its customers. Each of the cards has a 4-digit number, between 0001 and 9999. If the sum of the first 2 digits is equal to the sum of the last 2, the card is awarded. For example, the 0743 card is awarded. Prove that the sum of the numbers of all awarded cards is divisible by 101.