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The sum of the digits of a number is subtracted from the number, the resulting number is always divisible by:
- a)9
- b)2
- c)5
- d)8
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
The sum of the digits of a number is subtracted from the number, the r...
The answer is b.
The sum of the digit of the number is x if we subtract it frm any number the number is two.
let consider the number is 22 and sum is 4 hence it isdivided by 2.
Most Upvoted Answer
The sum of the digits of a number is subtracted from the number, the r...
Explanation:
Let's consider a number with three digits i.e. abc.
The value of this number can be expressed as follows:
abc = 100a + 10b + c
When we subtract the sum of the digits from the number, we get:
(100a + 10b + c) - (a + b + c) = 99a + 9b
This can be simplified as:
99a + 9b = 9(11a + b)
Therefore, we can see that the resulting number is always divisible by 9.
Conclusion:
Hence, the correct answer is option 'A' which states that the resulting number is always divisible by 9.
Let's consider a number with three digits i.e. abc.
The value of this number can be expressed as follows:
abc = 100a + 10b + c
When we subtract the sum of the digits from the number, we get:
(100a + 10b + c) - (a + b + c) = 99a + 9b
This can be simplified as:
99a + 9b = 9(11a + b)
Therefore, we can see that the resulting number is always divisible by 9.
Conclusion:
Hence, the correct answer is option 'A' which states that the resulting number is always divisible by 9.
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Community Answer
The sum of the digits of a number is subtracted from the number, the r...
Let the number be 9467 The sum of the digit is 9+4+6+7=26ATQ 9467-26=9441It is divisible by 9. Another example is Let the number be 67890The sum of the digit is 6+7+8+9+0=30ATQ 67890-30=67860 , which is divisible by 9.
SO THE CORRECT ANSWER IS OPTION A THAT IS 9
SO THE CORRECT ANSWER IS OPTION A THAT IS 9
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