Question:
Suppose \(n\) is an integer such that the sum of digits of \(n\) is 2, and \(10^n<n<10^{n+1}\). The number of different values of \(n\) is
Suppose \(n\) is an integer such that the sum of digits of \(n\) is 2, and \(10^n<n<10^{n+1}\). The number of different values of \(n\) is
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When dealing with sum of digits problems, list all possible combinations of digits that satisfy the conditions.
Updated On: Aug 1, 2025
- 11
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- 9
- 8
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The Correct Option is C
Solution and Explanation
The sum of digits of \(n\) is 2, so \(n\) could be any number whose digits sum to 2, and that falls within the range \(10^n<n<10^{n+1}\).
After examining all possible cases, the number of such values is 9.
\[
\boxed{9}
\]
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