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  Number & Math Play

Four Digits		  
Q Write down the four-digit number described by the following three statements.
  1. The first digit is one-third of the third digit.
  2. The fourth digit is two times the second digit.
  3. The first digit and the third digit add up to twice the sum of the second digit and fourth digit.

 
A The number is 3,294.

Based on a puzzle in More Puzzles for Pleasure and Leisure by Thomas L. Hirsch. New York: Abelard-Schuman, 1974.