Special Number

Tom has a very special four digit number.
To divide it by 7, you only had to drop its second digit.
What is the number?

  An acceptable solution might be :
      Let first digit be x,
      second digit be y,
      and third and fourth digits be z.
      The number is 1000x + 100y +z. 
      Dropping the second digit gives value as 100x + z.
      So, 1000x + 100y + z = 7(100x + z).
      Or, 150x + 50y = 3z.
      Since 50 is common on the left, and z is 2 digits, let z=50.
      Then 3x + y = 3.
      Since x is not zero, let us assume x=1, then y=0.
      So the number is 1050.

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