Quantitative - Mathematics - Word Problems:

Average

MCQ - 390-13157

Question:

If the average (arithmetic mean) of x and y is 60 and the average (arithmetic mean) of y and z is 80, what is the value of z - x?

70
40
20
40
It cannot be determined from the information given.

Correct Answer: B

Explanation:

If the average (arithmetic mean) of x and y is 60 and the average (arithmetic mean) of y and z is 80, what is the value of z - x?

$\frac{x + y}{2}$ = 60 ⇒ x + y = 120 ⇒ x = 120 - y

$\frac{y + z}{2}$ = 80 ⇒ y + z = 160 ⇒ z = 160 - y

z - x = 160 - y - (120 - y)

z - x = 160 - y - 120 + y = 40

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