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93. x, y, and z are consecutive multiples of 4, counting from smallest to largest. What is x+z in terms of y?

A. 2y
B. 4y
C. 2y + 8
D. 2y - 8

User Motatoes
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1 Answer

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Answer: 2y (choice A)

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Step-by-step explanation:

x, y, and z are consecutive multiples of 4.

For example, they could be x = 8, y = 12, and z = 16

The gap from x to y is 4 units.

This means y = x+4 which rearranges to x = y-4

Similarly, z = y+4

The sequence {x, y, z} is equivalent to {y-4, y, y+4}

Therefore,

x+z = (y-4)+(y+4) = 2y

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Going back to the example of x = 8, y = 12, z = 16 has us get

x+z = 8+16 = 24 which is exactly double that of the middle term y = 12.

This example helps confirm the answer.

User Ron Bergin
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