Four Digits

Find a Four Digit Number, whose-

  1. Second and Third digits are equal.
  2. Fourth digit is twice the first digit, and
  3. 1st and 2nd digits combined is half of 3rd and 4th digits combined.

For example, if the number is \( \overline{xyyz} \), then we have \( 2\times x = z \) and \( 2 \times \overline{xy} = \overline{yz} \).

Note: \( \overline{xy} \) is equal to \( 10 x + y \). It is not equal to \( x\times y \).

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