Difference between revisions of "2023 AMC 12B Problems/Problem 15"

(Problem)
 
(Problem)
Line 4: Line 4:
 
Which of the following statements are necessarily true?
 
Which of the following statements are necessarily true?
  
<math>\textbf{(A) }I, II, and III\qquad\textbf{(B) }I only\qquad\textbf{(C) }I and II only\qquad\textbf{(D) }III only\qquad\textbf{(E) }II and III only</math>
+
<math>\textbf{(A) }\textf{I, II, and III}\qquad\textbf{(B) }I only\qquad\textbf{(C) }I and II only\qquad\textbf{(D) }III only\qquad\textbf{(E) }II and III only</math>

Revision as of 18:44, 15 November 2023

Problem

Suppose that $a,b,$ and $c$ are positive integers such that \[\frac{a}{14}+\frac{b}{15}=\frac{c}{210}\] Which of the following statements are necessarily true?

$\textbf{(A) }\textf{I, II, and III}\qquad\textbf{(B) }I only\qquad\textbf{(C) }I and II only\qquad\textbf{(D) }III only\qquad\textbf{(E) }II and III only$ (Error compiling LaTeX. Unknown error_msg)