Math Prize 2019 Problem 12
Source:
October 15, 2019
Math Prize for Girls
Problem Statement
Say that a positive integer is MPR (Math Prize Resolvable) if it can be represented as the sum of a 4-digit number MATH and a 5-digit number PRIZE. (Different letters correspond to different digits. The leading digits M and P can't be zero.) Say that a positive integer is MPRUUD (Math Prize Resolvable with Unique Units Digits) if it is MPR and the set of units digits in the definition of MPR can be uniquely identified. Find the smallest positive integer that is MPR but not MPRUUD.