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ABBCCA is a Perfect Square (Posted on 2024-08-28) Difficulty: 2 of 5
ABBCCA is a perfect square without a leading zero, and C=2B.

Find the letter to digit assignment.

No Solution Yet Submitted by K Sengupta    
Rating: 5.0000 (1 votes)

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Solution Calc Solution method | Comment 1 of 3
There aren't many possibilities to check: 36, fewer if A doesn't equal B or C.

I used my calculator to make a table with 
sqrt(011220+100001x)
with x from 1 to 9
and planned to increment the first number to 022440 etc.

But the answer popped up quickly: 511225 = 715^2

A near miss was 444884 = 667^2 + 1

  Posted by Jer on 2024-08-28 08:02:20
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