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IMSO 2022 Mathematics – International Essay Question 2

IMSO Science · IMSO 2022 Mathematics – International Essay

Question 2

John has a 24-hour digital clock which shows the time from 00:00 to 23:59 each day. How many times in a day is the sum of the digits of the current hour equal to the sum of the digits of the current minute? (An example is 12:30, where the sum of the digits of the current hour: 1 + 2 = 3 is equal to the sum of the digits of the current minute: 3 + 0 = 3.)