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Question
Write the smallest digit and the greatest digit in the blank space of the following number so that the number formed is divisible by 3:
______ 6724
Solution
Based on the rules of checking divisibility, if the sum of the digits of a number is a multiple of 3, then that number is divisible by 3.
Therefore, on adding smallest digit 2, 26724 = 2 + 6 + 7 + 2 + 4 = 21
By adding the biggest digit 8, 86724 = 8 + 6 + 7 + 2 + 4 = 27
Both numbers will be divisible by 3.
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