Question
What is the smallest number that should be added to 673
so that the sum becomes exactly divisible by 9?Solution
For divisibility by 9, sum of digits must be multiple of 9. Digits of 673: 6 + 7 + 3 = 16 Next multiple of 9 after 16 is 18. We need sum of digits = 18. So we must increase digit-sum by 2. Therefore add 2 to the number: 673 + 2 = 675 Check: 6 + 7 + 5 = 18 (divisible by 9). Answer: 2.
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