Art of Problem Solving

AoPS Online

2022 AMC 12A Problems/Problem 4

Revision as of 00:50, 12 November 2022 by Pluginl (talk | contribs) (Created page with "==Problem== The least common multiple of a positive integer <math>n</math> and <math>18</math> is <math>180</math>, and the greatest common divisor of <math>n</math> and <mat...")

(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)

Problem

The least common multiple of a positive integer $n$ and $18$ is $180$ , and the greatest common divisor of $n$ and $45$ is $15$ . What is the sum of the digits of $n$ ?

$\textbf{(A)} 3 \textbf{ (B)} 6 \textbf{ (C)} 8 \textbf{ (D)} 9 \textbf{ (E)} 12$

Retrieved from "https://artofproblemsolving.com/wiki/index.php?title=2022_AMC_12A_Problems/Problem_4&oldid=180795"

© 2024 AoPS Incorporated