- #1
adjacent
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Determine all three-digit number ,##N##, having the property that ##N## is divisible by 11, and ##\frac{N}{11}## is equal to the sum of the square of the digits of ##N##.
This cannot be solved just by guessing. I think I should use mathematica for this,but, this sum of the digits is a scary thing. Does mathematica has a feature for that?
I know that
-##N## is a multiple of 11.
Let the digits of ##N## be ##a,b \text{ and } c## respectively.
Now, ##11(a^2+b^2+c^2)=abc##
I can't think of a way.
This cannot be solved just by guessing. I think I should use mathematica for this,but, this sum of the digits is a scary thing. Does mathematica has a feature for that?
I know that
-##N## is a multiple of 11.
Let the digits of ##N## be ##a,b \text{ and } c## respectively.
Now, ##11(a^2+b^2+c^2)=abc##
I can't think of a way.