MathDB

Girls in Math at Yale 2022 Problem 7: Divisible by 99

Source:

February 27, 2022

Yalecollege

Problem Statement

Given that six-digit positive integer

\overline{ABCDEF}

has distinct digits

A,

B,

C,

D,

E,

F

between

1

and

8

, inclusive, and that it is divisible by

99

, find the maximum possible value of

\overline{ABCDEF}

.
Proposed by Andrew Milas