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Question 3
If 24x is a multiple of 3, where x is a digit, what is the value of x?

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Solution

24x is a multiple of 3.

Therefore according to the divisibility rule of 3, the sum of all the digits should be a multiple of 3.

2 + 4 + x = 6 + x

6 + x is one of these numbers: 0, 3, 6, 9, 12, 15, 18, ... .

But since x is a digit, it can only be that 6 + x = 6 or 9 or 12 or 15.

6+x=6x=0

6+x=9x=3

6+x=12x=6

6+x=15x=9

Thus, x = 0, 3, 6, 9

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