MathDB

1

Part of 2012 AIME Problems

Problems(2)

Solutions to Linear Equation

Source: 2012 AIME II Problem 1

3/29/2012
Find the number of ordered pairs of positive integer solutions (m,n)(m,n) to the equation 20m+12n=2012.20m+12n=2012.
modular arithmeticAMC
Three-digit numbers divisible by 4

Source: 2012 AIME I Problem 1

3/16/2012
Find the number of positive integers with three not necessarily distinct digits, abcabc, with a≠0a \neq 0, c≠0c \neq 0 such that both abcabc and cbacba are divisible by 4.
modular arithmeticAMCUSA(J)MOUSAMO