Answer :
a) 27 hours from now, it will be 6 o'clock.
b) 58 hours ago, it was 17 o'clock (5 p.m.).
To determine the time using modular arithmetic, we can use a 24-hour clock system.
In this system, we count the hours from 0 to 23, where 0 represents midnight (12:00 a.m.) and 23 represents 11:00 p.m.
a. To determine the time 27 hours from now, we add 27 to the current time of 3 o'clock.
3 + 27
= 30
However, since we are working with a 24-hour clock system, we need to take the modulus of 30 by 24 to get the equivalent time within 24 hours.
30 % 24
= 6
Therefore, 27 hours from now, it will be 6 o'clock.
b. To determine the time 58 hours ago, we subtract 58 from the current time of 3 o'clock.
3 - 58 = -55
Similarly, we need to take the modulus of -55 by 24 to get the equivalent time within 24 hours.
(-55) % 24
= -7
However, to represent the time in a more conventional format, we can add 24 to the result to make it positive:
-7 + 24
= 17
Therefore, 58 hours ago, it was 17 o'clock (5 p.m.).
a) 27 hours from now, it will be 6 o'clock.
b) 58 hours ago, it was 17 o'clock (5 p.m.).
To determine the time using modular arithmetic, we can use a 24-hour clock system.
In this system, we count the hours from 0 to 23, where 0 represents midnight (12:00 a.m.) and 23 represents 11:00 p.m.
a. To determine the time 27 hours from now, we add 27 to the current time of 3 o'clock.
3 + 27 = 30
However, since we are working with a 24-hour clock system, we need to take the modulus of 30 by 24 to get the equivalent time within 24 hours.
30 % 24 = 6
Therefore, 27 hours from now, it will be 6 o'clock.
b. To determine the time 58 hours ago, we subtract 58 from the current time of 3 o'clock.
3 - 58 = -55
Similarly, we need to take the modulus of -55 by 24 to get the equivalent time within 24 hours.
(-55) % 24 = -7
However, to represent the time in a more conventional format, we can add 24 to the result to make it positive:
-7 + 24 = 17
Therefore, 58 hours ago, it was 17 o'clock (5 p.m.).
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