Solve the following: ABCDEF × 3 = BCDEFA

general knowledge math & puzzles

  1. A = 1, B=2, C=3, D=4, E=5, F=6

  2. A = 1, B=4, C=2, D=8, E=5, F=7

  3. A = 1, B=6, C=0, D=8, E=5, F=7

  4. A = 1, B=6, C=0, D=4, E=5, F=6

Show answer
Correct Option: B

AI Explanation

To solve the given equation ABCDEF × 3 = BCDEFA, we can approach it step by step:

  1. We know that A × 3 = A, because the only possible digit for A is 1 (since the result is a 6-digit number and 1 × 3 = 3).

  2. Now, let's consider the digit B. Since A = 1, we have 1BCDEF × 3 = B1CDEF. This means that B × 3 + 3 (from the multiplication of A) should result in B.

  3. If we try different digits for B, we can quickly see that B = 4 satisfies the equation. Therefore, we have 14CDEF × 3 = 4C1DEF.

  4. Continuing this process, we can find that C = 2, D = 8, E = 5, and F = 7.

Therefore, the correct answer is option B) A = 1, B = 4, C = 2, D = 8, E = 5, F = 7.

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