perplexus.info :: Numbers : Three Digit Integers Crossed 170 Multiple Muse

Three Digit Integers Crossed 170 Multiple Muse (Posted on 2023-04-19)

Think of this problem as an extension of Two Digit Integers.

Find all possible three digit positive integers N for which the sum of digits of 10^N - N is divisible by 170.

Provide valid reasons for your answer.

Note: Computer program/ spreadsheet aided methodologies are welcome, but a semi-analytic (simple calculator + p&p) solution is preferred.

See The Solution Submitted by K Sengupta

Rating: 5.0000 (1 votes)

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