1965 AHSME Problems/Problem 15
Revision as of 13:14, 18 July 2024 by Thepowerful456 (talk | contribs) (made proof more clear and removed inaccurate statement about base 10)
Problem
The symbol represents a two-digit number in the base
. If the number
is double the number
, then
is:
Solution
We begin by noting that and
. The problem tells us that
, so
. Solving for b yields the answer
.