If the three digit number 24 is divisible by 9, what is the value of x?
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Solution. Since 24x is divisible by 9, sum of its digits, i.e., 2 + 4 + x should be divisible by 9, i.e., 6 + x should be divisible by 9. This is possible when 6 + x = 9 or 18, .... But, since x is a digit, therefore, 6 + x = 9, i.e., x = 3.
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