October 2022 ASCE-NH Newsletter October 2022 | Page 7

CRANIUM CHALLENGE

OCTOBER CHALLENGE Seven Times

What is the smallest whole number that is equal to seven times the sum of its digits ?

Please send you answers to Thomas Selling via e-mail : thomasselling @ me . com Correct responses will be recognized in the future issues of the New Hampshire Civil Engineer .

AUGUST / SEPTEMBER SOLUTION 1

Workings : Read the question again carefully . The main thing to remember is that all the boxes are incorrectly labeled . You can then guarantee the contents of each box with one draw .
Let ' s say you draw a marble from the box labeled BW . You know this is wrong initially , thus it can only by BB or WW , right ? If you draw a white marble you know this box must be WW . That leaves two more unknown boxes . The box labeled BB cannot be BB as the labels are wrong . This must , therefore , be BW .
Continue with this logic and you can ascertain the correct label for the last one . " Bada bing ", cool right ?

No Answers Submi ed

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