MathDB
2022 A Individual #22

Source:

April 28, 2022
2022 A Individual

Problem Statement

Jerry and Aaron both pick two integers from 11 to 66, inclusive, and independently and secretly tell their numbers to Dennis.
Dennis then announces, "Aaron's number is at least three times Jerry's number."
Aaron says, "I still don't know Jerry's number."
Jerry then replies, "Oh, now I know Aaron's number."
What is the sum of their numbers?
<spanclass=latexbold>(A)</span>4<spanclass=latexbold>(B)</span>5<spanclass=latexbold>(C)</span>6<spanclass=latexbold>(D)</span>7<spanclass=latexbold>(E)</span>8<span class='latex-bold'>(A) </span>4\qquad<span class='latex-bold'>(B) </span>5\qquad<span class='latex-bold'>(C) </span>6\qquad<span class='latex-bold'>(D) </span>7\qquad<span class='latex-bold'>(E) </span>8