Multiple choice general knowledge math & puzzles

If (DD)E= DEED, Then what could be D & E?

  1. 1 & 3

  2. 2 & 4

  3. 4 & 2

  4. 3 & 1
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A Correct answer
Explanation

The cryptarithm (DD)E = DEED means (10×D + D) × E = 1000×D + 100×E + 10×E + D, which simplifies to 11D×E = 1001D + 110E. Substituting D=1, E=3: 11×1×3 = 33 and 1001×1 + 110×3 = 1001 + 330 = 1331, so DEED = 1331, which matches.

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