Summer 2007

Bailey Challenge
By Professor Emeritus Herb Bailey

Congratulations, you have achieved a modern era record with more than 100 solvers of the previous challenge!  On the down side, this represents less than 1% of the number of Echoes sent out each issue.  Another bit of data is the number of solvers by decade of graduation.  By far the brightest decade must be the 1980's with far more solvers than any of the others.  Perhaps the oldsters are tired and the youngsters are too busy climbing the corporate ladder and diapering their children.

Warm-up

Given three closed containers, one containing all oranges, another containing all apples and the third containing both apples and oranges.  Each of the containers has been labeled incorrectly.  You are to pick one of the containers and select one piece of fruit therein.  Based on the fruit variety that you have selected, you are to move the labels so that the containers are then correctly labeled.  How can this be done?

Problem I

    
     F O R T Y
         T E N
         T E N
     ---------
     S I X T Y

In the addition cryptogram to the right, each letter represents a distinct digit.  What digits can be assigned to the letters so that the sum is valid?  Half credit for an 'exhaustive' computer search.

Bonus: Prove (convince yourself and me) that there is only one valid solution, or else find another.

Send your solutions to Herb.Bailey@rose-hulman.edu or to Herb Bailey, Math. Dept., Rose-Hulman, 5500 Wabash Ave., Terre Haute IN 47803

PLEASE include your class year if you are an alum.