Question
There are 15 numbers such that average of first 12
numbers is 45 while the average of last five numbers is 56. Find the 12th number, if the ratio between 11th and 12th number is 13:7, respectively.Solution
Sum of first 12 numbers = (12 x 45) = 540 Sum of last 5 numbers = (56 x 5) = 280 Sum of 11th and 12th number = (540 - 280) = 260 So, 12th number = 260 x (7/20) = 91
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