The average of numbers x,y,z is 15 and the average of y,z,w is 16. If w is equal to 19, then what is the value of x?
- 15
- 18
- 16
- None of these
Explanation
Let's break it down:
(x + y + z) / 3 = 15
x + y + z = 45
(y + z + w) / 3 = 16
y + z + w = 48
Given w = 19:
y + z + 19 = 48
y + z = 29
Now, substitute y + z in the first equation:
x + 29 = 45
x = 16
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