The average number of books on history, polity and geography in a library is 165, and the average number of books on history and geography is 140. If the number books on geography is 20% less than the number of books on polity, then what is the number of books on history in the library?
Let the number of books on History, Polity and Geography be x, y and z respectively. Given, (x + y + z)/3 = 165 Or, x + y + z = 495 ….. (1) And, (x + z)/2 = 140 Or, x + z = 280 ….. (2) From equation 1 and 2 Number of books on polity = y = 215 Number of books on geography = 0.8 × 215 = 172 Therefore, number of books on history = 495 – (215 + 172) = 108
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