perplexus.info :: Numbers : 6 Digit Square Alphametic

6 Digit Square Alphametic (Posted on 2023-07-05)

A six digit perfect square is represented as AABCAB where the same letter represents the same digit, but a different letter represents a different digit.
It is also known that both these relationships are simultaneously satisfied:

The numbers represented by each of AAB and CAB is a perfect square.
The numbers represented by each of AB and ABC is a perfect square.

Determine the digits represented by A, B, and C.

Note: Computer program solutions are welcome, but a semi-analytic(calculator+ p&p) method is preferred.

Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Solution: (Hide)

AABCAB=225625=475^2.
For an explanation, refer to the solution submitted by Brian Smith in this location.

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

Subject	Author	Date
9	Lana Slater	2023-07-26 06:57:56
8	Lana Slater	2023-07-26 06:44:49
7	Lana Slater	2023-07-26 06:22:10
6	Lana Slater	2023-07-26 06:03:25
5	Lana Slater	2023-07-26 05:45:26
4	Lana Slater	2023-07-26 05:14:02
3	Bradley Bauer	2023-07-26 04:32:10
.	Bradley Bauer	2023-07-26 04:16:53
2	Bradley Bauer	2023-07-26 03:28:06
Solution	Larry	2023-07-06 06:19:29
Solution	Brian Smith	2023-07-05 12:51:32

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