Skip to content / Đến nội dung
ThichHocToan.com

MathNet 2026 — Part 02 Question 101

Math Olympiad Vault · MathNet 2026 — Part 02

Question 101

a four-digit number $a b c d$ It is called balanced if
$$
a+b=c+d
$$
Calculate the following quantities:


a) how many numbers $a b c d$ are such that $a+b=c+d=8$ ?


b) how many numbers $a b c d$ are such that $a+b=c+d=16$ ?


c) How many balanced numbers are there?