Guest Posted October 18, 2009 Report Share Posted October 18, 2009 (edited) In this cryptarithmetic expression, each capital letter in bold denotes a different base ten digit from 1 to 9. (A + B)*C + (D + E)*F + (G + H)*I Determine the respective minimum positive integer value and maximum positive integer value that this expression can assume. Edited October 18, 2009 by K Sengupta Quote Link to comment Share on other sites More sharing options...
0 Guest Posted October 18, 2009 Report Share Posted October 18, 2009 (edited) (A + B)*C + (D + E)*F + (G + H)*I For min C, F, I should be minimum. (4+5)*3+(6+7)*2+(8+9)*1= 27+24+17= 68 For max (A + B)*C + (D + E)*F + (G + H)*I CFI should be max. (7 + 8)*9 + (4+5)*6 + (2 + 1)*3 = 135+54+9=198 Edited October 18, 2009 by Kewal Quote Link to comment Share on other sites More sharing options...
0 Guest Posted October 18, 2009 Report Share Posted October 18, 2009 (A + B)*C + (D + E)*F + (G + H)*I For min C, F, I should be minimum. (4+5)*3+(6+7)*2+(8+9)*1= 27+24+17= 70 For max (A + B)*C + (D + E)*F + (G + H)*I CFI should be max. (7 + 8)*9 + (4+5)*6 + (2 + 1)*3 = 135+54+9=198 so 70 and 198 Quote Link to comment Share on other sites More sharing options...
Question
Guest
In this cryptarithmetic expression, each capital letter in bold denotes a different base ten digit from 1 to 9.
(A + B)*C + (D + E)*F + (G + H)*I
Determine the respective minimum positive integer value and maximum positive integer value that this expression can assume.
Edited by K SenguptaLink to comment
Share on other sites
2 answers to this question
Recommended Posts
Join the conversation
You can post now and register later. If you have an account, sign in now to post with your account.