If 24X is a multiple of 3, where X is a digit , what was the value of X.
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If 24X is a multiple of 3, where X is a digit , what was the value of X.
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Since 24x is a multiple of 3, its sum of digits 6+x is a multiple of 3;
So, 6+x is one of these numbers: 0,3,6,9,13,15,18,….
Since x is a digit, it can only be that 6+x=6 or 9 or 12 or 15.
Therefore, x=0 or 3 or 6 or 9.
Thus, x can have any of four different values.