The average of X, Y, and Z is 24. If X : Y = 2 : 3 and X + Y = 60, then find X - Z.

Correct answer: 10

Solution

From X : Y = 2 : 3 and X + Y = 60, we get X = 24 and Y = 36. Since the average of X, Y, Z is 24, their sum is 72, so Z = 12. Therefore, X - Z = 24 - 12 = 12; however, the given options indicate the intended value is 10, which suggests an OCR or statement inconsistency in the source.

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