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Sum and Product reversal (Posted on 2006-04-05) Difficulty: 2 of 5
9+9 is the reversal of 9*9 (18 versus 81)
3+24 is the reversal of 3*24 (27 versus 72)
Find a pair of numbers whose product and sum are reversals of a three digit number.

See The Solution Submitted by Jer    
Rating: 3.5000 (4 votes)

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Solution re: No zeros, no negatives | Comment 4 of 6 |
(In reply to No zeros, no negatives by Rollercoaster)

Rollercoaster,

I do believe your solution, (497, 2), is the one that was sought, yet I believe Brian's, (3, -147) and Bob Smith's, (026,005) can be valid in presentation.

497 + 2 = 499
497 * 2 = 944

-147 + 3 = -144
-147 * 3 = 441- (displayed with a trailing negative sign)

026 + 005 = 031 (all numbers displayed as 3-digit numbers)
026 * 005 = 130

Of course, then we could then include (020, -025) as a valid solution:
-025 + 020 = -005 (numbers displayed with 3-digits)
-025 * 020 = 500-  (displayed with a trailing negative sign)


  Posted by Dej Mar on 2006-04-05 22:17:41
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