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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(3): short review.....augmented Comment 5 of 5 |
(In reply to re(2): short review.....augmented by Charlie)

Absolutely true.

My remark was addressed to broll's remark regarding lack of definition.

BTW,  no need to check all the numbers over 100.

Take a 3-digit number L=100a+10b+c and compare it to R=abc+a+b+c

L=99a+9b+a+b+c  R=abc+a+b+c

L'=99a+9b    R'=abc

it is very easy to show that  L is always bigger than R for any triplet of digits a, b, c. So there are no cute numbers over 99.


  Posted by Ady TZIDON on 2016-07-22 10:22:53
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