Multiple choice general knowledge math & puzzles

In the following figure:A B C D E F G H IEach of the digits 1, 2, 3, 4, 5, 6, 7, 8, and 9 is:a)Represented by a different letter in the figure above.b)Positioned in the figure above so that each of A + B + C,C + D +E,E + F + G, and G + H + I is equal to 13.Which digit does E represent?

  1. 8

  2. 4

  3. 7

  4. 2
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B Correct answer
Explanation

The sum of digits 1-9 is 45. In the four sums (each 13), C, E, and G are counted twice. Total sum = 45 + C + E + G = 13 * 4 = 52. Thus C + E + G = 7. Since they are distinct digits, they must be 1, 2, and 4. Trial and error shows E=4 works for the middle intersection.

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