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10 August, 09:57

4z

27

+x5

y14

If x, y and z each represent a different digit from 0 to 9, what is the value of (x) (y) (z) ?

+3
Answers (1)
  1. 10 August, 12:30
    0
    4 (1) (2) = 8

    Step-by-step explanation:

    Consider the addition in the unit digits.

    z + 7 + 5 = z + 12

    and the unit digit of this sum should be 4 since the unit digit of the answer is 4.

    Also, since z is a number from 0 to 9, the only possibility is z = 2.

    Hence, the unit digit sum is 14 and the carry over is 1.

    Now, consider the tenth digits sum with previous carry over 1.

    1 + 4 + 2 + x = y1

    7 + x = y1

    Since, x and y are numbers from 0 to 9, the only possibility is x = 4 and hence

    7 + 4 = y1

    11 = y1

    y = 1

    So, x = 4, y = 1, z = 2

    (x) (y) (z) = (4) (1) (2) = 8
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