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?

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

$\mathrm{(E) \ } 23$

Solution

The sum of digits is largest when the number of hours is $9$ and the number of minutes is $59$ . Therefore, the largest possible sum of digits is $9+5+9=23$ . The answer is E.

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2006 AMC 12A Problems/Problem 4

Problem

Solution

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