perplexus.info :: Just Math : Add 1, get a square

Add 1, get a square (Posted on 2008-07-17)

By adding 1 to the non leading zeros number N = AAABBBCCC, it becomes a square. Find N.

A, B, and C are different digits.

Note: While a solution is trivial with the aid of a computer program, show how to derive it without one.

Submitted by pcbouhid

Rating: 5.0000 (1 votes)

Solution: (Hide)

The number is 111,999,888. KS presents a complete analytic solution in the comments.

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
Re: Add 1, get a square	PatriciaCHatch	2022-01-01 13:15:37
Trivia - and reflection on earlier comments	brianjn	2008-07-18 00:35:17
Solution (partial analysis)	Dej Mar	2008-07-17 20:26:49
Analytic Solution	K Sengupta	2008-07-17 11:37:40

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