Question
The average of five even numbers is 64. If we replace
two of these even numbers, 84 and 92, with a single even number X, the new average decreases by 4. What is the value of X?Solution
Sum of 5 even numbers = 5 x 64 = 320 Sum of after 2 replacing even numbers by X = 320 - (84 + 92) + X = 320 - 176 + X Now Sum of 4 even numbers = (64 - 4) x 4 = 240 According the question, we get 320 – 176 + X = 240 X = 240 – 320 + 176 X = 96
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