MathDB

Math Prize 2017 Problem 4

Source:

September 26, 2017

Math Prize for Girls

Problem Statement

\mathrm{MATH} + \mathrm{WITH} = \mathrm{GIRLS}

, compute the smallest possible value of

\mathrm{GIRLS}

. Here

\mathrm{MATH}

and

\mathrm{WITH}

are 4-digit numbers and

\mathrm{GIRLS}

is a 5-digit number (all with nonzero leading digits). Different letters represent different digits.