MathDB

Suppose that the measurement of time during the day is converted to the metric system so that each day has

10

metric hours, and each metric hour has

100

metric minutes. Digital clocks would then be produced that would read

9{:}99

just before midnight,

0{:}00

at midnight,

1{:}25

at the former

3{:}00

\textsc{am}, and

7{:}50

at the former

6{:}00

\textsc{pm}. After the conversion, a person who wanted to wake up at the equivalent of the former

6{:}36

\textsc{am} would have to set his new digital alarm clock for

\text{A:BC}

, where

\text{A}

\text{B}

, and

\text{C}

are digits. Find

100\text{A} + 10\text{B} + \text{C}

Problem Statement