Question : Six numbers are arranged in decreasing order. The average of the first five numbers is 30, and the average of the last five numbers is 25. The difference between the first and last numbers is:
Option 1: 20
Option 2: 25
Option 3: 5
Option 4: 30
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Correct Answer: 25
Solution :
Let the six numbers be a, b, c, d, e, and f
The average of the 1st five numbers is 30
So, a+b+c+d+e = 30×5 = 150 ......................(1)
The average of the last five numbers is 25.
So, b+c+d+e+f = 25×5 =125 .......................(2)
Subtracting equation (2) from equation (1) we get,
a – f = 150 – 125 = 25
Hence, the correct answer is 25.
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