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Bonne chance (Posted on 2016-09-02) Difficulty: 3 of 5
BABY*BOY= CHAPEAU

The above was a message some mathematician sent to her friends after giving birth to a baby, a new brother of her 4 daughters.

One reply was:
15994 ?

to which she quipped:
436 802 !

Please decipher.

See The Solution Submitted by Ady TZIDON    
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Solution Solving Backwards | Comment 1 of 2
Nine of the ten letters available are "A,B,C,E,H,O,P,U,Y"

Using these letters, an appropriate one word reply is "HAPPY"  Then the response begins with Y.  The remaining letters available suggest "YOU" is the first word.  Letting T be the unused letter then a sensible response of "YOU BET" can be formed.

Then the numeric mapping is {0,1,2,3,4,5,6,7,8,9} = {E,H,T,O,Y,A,U,C,B,P}.  This implies the alphametic is 8584*834=7159056, which does correctly equate.

In summary: BABY=8584, BOY=834, CHAPEAU=7159056, HAPPY=15994, YOU=436, and BET=802.

  Posted by Brian Smith on 2016-09-03 11:09:25
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