Sunday, August 26, 2012

What is the sum of x, y, and z?

In the multiplication puzzle below, x, y, and z represent different digits. What is the sum of x, y, and z?








Answer:


x = 5, y = 6, and z = 4, so the sum is 15.The variable x can be either 0 or 5. It must be 5 because there is no number that ends in 0 when multiplied by 7 (y * 7, resulting in x).Therefore, a 3 is carried over to the y. Since x is 5, y must be 6 because 7 * 6 = 42. Add the 3 that was carried over and you get 45. Therefore, z is 4.

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