Difference between the average of x, y and y, z is 8. Find the difference between x and z
Question
Difference between the average of x, y and y, z is 8. Find the difference between x and z
Solution
Sure, let's solve this step by step:
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According to the problem, the average of x and y is 8 more than the average of y and z. We can write this as:
(x + y)/2 - (y + z)/2 = 8
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Multiply all terms by 2 to get rid of the denominator:
x + y - y - z = 16
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Simplify the equation:
x - z = 16
So, the difference between x and z is 16.
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