Mathematics
If the three digit number 24x is divisible by 9 , find the value of digit x.
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Answer
According to the divisibility of 9, if the sum of the digits of the number is divisible by 9 then the number is divisible by 9.
∵ 24x is divisible by 9
⇒ 2 + 4 + x is divisible by 9
⇒ 6 + x is divisible by 9
⇒ 6 + x = 0 , 9 , 18 , 27 , 36, ……………
⇒ x = -6 , 3 , 12 , 21 , 30, ……………
Since x is a digit. So, x = 3.
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