perplexus.info :: Numbers : Missing Digit Deduction

Missing Digit Deduction (Posted on 2022-11-08)

N = 55.....55m66.....66 
     2023 5s   2023 6s

is a 4047 digit number.

N is divisible by 13.

Determine the value of m.

See The Solution Submitted by K Sengupta

Rating: 5.0000 (1 votes)

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Solution

| Comment 1 of 2

111111 is divisible by 13 so 555555 and 666666 are as well.

2023/6 gives a remainder of 1 so we just need the middle digits:

5m6 is divisible by 13 only if m=4

546/13=42

Posted by Jer on 2022-11-08 11:37:34

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