2006 AMC 12A Problems/Problem 4

Problem

A digital watch displays hours and minutes with AM and PM. What is the largest possible sum of the digits in the display?

$\mathrm{(A) \ } 17\qquad \mathrm{(B) \ } 19\qquad \mathrm{(C) \ } 21\qquad \mathrm{(D) \ } 22$

$\mathrm{(E) \ } 23$

From the greedy algorithm, we have 9 in the hours section and 59 in the minutes section. $9+5+9=23 \Rightarrow \mathrm {(E)}$

2006 AMC 12A (Problems • Answer Key • Resources)
Preceded by Problem 3	Followed by Problem 5
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