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MathNet 2006 — Part 02 Question 141

Math Olympiad Vault · MathNet 2006 — Part 02

Question 141

A certain machine has a display, where an integer $x$ appears, and two keys $A$ and $B$. When the $A$ key is pressed, the display number is replaced by $2x+1$. When the $B$ key is pressed, the display number is replaced by $3x-1$.
If the number $5$ is on the display, the largest two-digit number that can be obtained by pressing some sequence of the $A$ and $B$ keys is:

A) 85

B) 87

C) 92

D) 95

E) 96