Question
The average of 5 numbers, arranged in a row, is 309. The
average of the first two of these numbers is 431 and the average of the last two of these numbers is 231.5. What is the value of the number at the center of the row?Solution
The average of 5 numbers, arranged in a row, is 309. Sum of 5 numbers, arranged in a row = 309x5 = 1545 The average of the first two of these numbers is 431. Sum of the first two of these numbers = 431x2 = 862 The average of the last two of these numbers is 231.5. Sum of the last two of these numbers = 231.5x2 = 463 Value of the number at the center of the row = 1545-(862+463) = 1545-1325 = 220
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