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SOD cubed equals Sum of Squares of SODs (Posted on 2019-11-20) Difficulty: 3 of 5
Find all 2 digit base 10 integer pairs (X, Y) such that:

  • Y is not larger than X
  • (sod(X*Y))^3 equals (sod(X))^2 + (sod(Y))^2
... where sod(n) indicates the sum of digits of n

See The Solution Submitted by Larry    
Rating: 4.0000 (1 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Puzzle Answer Only Comment 4 of 4 |
There are precisely 10 integer pairs in consonance with the provisions governing the puzzle under reference and these are:

X       Y
14    73
28    50
46    50
50    64
50    82
73    14
50    28
50    46
64    50
82    50

****** Analytical/ Semi-Analytical Method? I don't know! But I will strive for an independent derivation of such a procedure!!

  Posted by K Sengupta on 2022-05-28 23:41:25
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