Akash H.

asked • 12/23/17

The value of a three digit number increases by 108 when the first digit is placed at the last and the value of the number increases by 189 when ...

Can you solve the problem below:
The value of a three digit number increases by 108 when the first digit is placed at
the last and the value of the number increases by 189 when the last number is
placed at the first. Determine the summation of all the possible numbers.

Al P.

Can you solve the problem below:
The value of a three digit number increases by 108 when the first digit is placed at
the last and the value of the number increases by 189 when the last number is
placed at the first. Determine the summation of all the possible numbers.
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It seems the question is missing some information.
 
If  N = 100a + 10b + c  and one writes  N' = 100a + 10b + a  (i.e. "place the first digit last")  then  N' and N can differ by at most 9.  
 
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12/23/17

Andy C.

 
 I tested it where the digits are swapped.
That does not work either.
 
 If you do you get a system of two equations with 3 unknowns.
However, the free variable must be a digit 0..9 and none of
them produce an integer much less a digit.
 
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12/23/17

David W.

tutor
I'm working on it, but placing the first number last results in 100b + 10c + a and placing the last number first results in 100c + 10a + b.
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12/25/17

Derek S.

012 appears to be what you are looking for. 120-012=108 and 201-012=189. If i read the question correctly.
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03/19/19

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