Solution: The mysterious number 22
For the ambitious readers, we will analyze this unusual result and we will begin with a general represent of the number. That is 100x+10y+z
We now take the sum of all two digit numbers constructed from the three digits: (10x+y)+(10y+x)+(10x+z)+10z+x)+(10y+z)+(10z+y)
=22x+22y+22z
=22(x+y+z)
which, when divided by the sum of the digits,(x+y+z), is 22
You ought to get a genuine appreciation for algebra with this elementary problem.
This problem shows the value of algebra and exhibit its beauty.
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