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Cute numbers (Posted on 2016-07-21) Difficulty: 2 of 5
39=3*9+3+9
Is it not cute?
Let's attach the adjective cute to all numbers equaling the sum of their digit augmented by the digits' product.

List all the cute numbers below 100.

Are there cute numbers bigger thann 100?

No Solution Yet Submitted by Ady TZIDON    
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Hints/Tips re: short review.....augmented | Comment 3 of 5 |
(In reply to short review by broll)

broil:   ..10a+b=ab+a+b, from which 10a = ab+a, and 10=b+1; and 10a=9a+a, which is true for any a.

Ady: So  b=9 and a could be any digit.  Right!

broil: ... over 100, cute is not well-defined

Ady: Let's attach the adjective cute to all numbers equaling the sum of their digits augmented by the digits' product.


  Posted by Ady TZIDON on 2016-07-22 00:34:17
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