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Not represented (Posted on 2013-02-20) Difficulty: 2 of 5

(abc)d=(efghbghfbe)

What two digits are not represented in the above equation?

Rem: (xyz) defines a numerical value of the string of the integers x,y,z - not their product;
i.e. (xyz)=100*x+10*y+z.

No Solution Yet Submitted by Ady TZIDON    
Rating: 4.0000 (1 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
partial spoiler | Comment 1 of 4
LHS has either too few or too many digits, unless d=4.

Then abc in the range 178-316 raised to the 4th power has 10 digits.

However a=1 makes the leading digit of the result =1, and a is not represented in the result.

There's no c in the result so c<>0,1,5,6.

At this point I started checking values and quickly found abc=207, d=4, efghbghfbe=1836036801, so 5 and 9 are absent.

Time is short so I didn't check further.

  Posted by xdog on 2013-02-20 10:35:48
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