Romeo likes to add the digits that he sees on his
digital clock. For example, if the clock shows 15:21,
Romeo gets the sum 1+5+2+1 = 9. What is the
biggest sum he can get from his 24-hr clock?
19:59
18
To find the biggest sum Romeo can get from his 24-hour clock, we need to determine the maximum possible digit for each position on the clock.
In a 24-hour clock, the digits in the hour's place can range from 0 to 2. However, the digit in the tens place will be limited based on the value in the hour's place. If the hour's place is 0 or 1, then the digit in the tens place can be any number from 0 to 9 (0, 1, 2, ..., 9). But if the hour's place is 2, then the digit in the tens place can only be from 0 to 3 (0, 1, 2, 3).
For the minutes, the digit in the tens place can be any number from 0 to 5 (0, 1, 2, ..., 9) since there are 60 minutes in an hour. The digit in the ones place can also be any number from 0 to 9.
To find the biggest sum, Romeo should have the maximum digit in each position. Therefore, the biggest sum he can get from his 24-hour clock is:
2 + 3 + 5 + 9 = 19.