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Palindromic and Tautonymic IV (Posted on 2010-12-27) Difficulty: 4 of 5
Make a list of distinct positive integers that are obtained by assigning a different decimal digit from 1 to 9 to each of the capital letters in bold in this expression.

(A+B)C + (D+E)F + (G+H)I

Determine the smallest and the largest positive palindromes. What are the smallest and the largest prime number? How many amongst the abovementioned list are tautonymic numbers?

  Submitted by K Sengupta    
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Solution: (Hide)
Palindromic
Smallest: (4+5)3+(6+9)1+(7+8)2 = 969
Largest: (1+3)9+(2+5)8+(6+7)4 = 6055506

Prime
Smallest: (4+5)3+(6+8)2+(7+9)1 = 941
Largest: (1+4)2+(3+6)5+(7+8)9 = 38443418449

Tautonymic
Smallest: (4+7)3+(5+8)2+(6+9)1 = 1515
Largest: (4+7)3+(5+8)2+(6+9)1 = 1515

For a detailed explanation, refer to the solution submitted by Charlie in this location.

Comments: ( You must be logged in to post comments.)
  Subject Author Date
Solutioncomputer solutionCharlie2010-12-27 16:35:06
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