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Find the missing digit so that it becomes divisible by 9 for
a. 13?84
b. 2096?
Solution:
a. Consider the given number
A number is divisible by 9 if the sum of the digits is a multiple of 9. If you add the rest of the digits, the sum will be equal to
Since 16 is not a multiple of 9, then we need to add a number so that it becomes a multiple of 9. So, 16 + 2 = 18. 2 is the highest digit that we can use because 2 + 9 = 11 will be a two digit number and we need to use only one digit to fill up the missing digit. Therefore, the possible number is 13284 only.
b. Consider the given number
A number is divisible by 9 if the sum of the digits is a multiple of 9. If you add the rest of the digits, the sum will be equal to
Since 17 is not a multiple of 9, then we need to add a number so that it becomes a multiple of 9. So, 17 + 1 = 18. 1 is the highest digit that we can use because 1 + 9 = 10 will be a two digit number and we need to use only one digit to fill up the missing digit. Therefore, the possible number is 20961 only.