Question
The average number of novels on historical, thriller and
fantasy in a library is 30, and the average number of novels on historical and fantasy is 25. If the number novels on fantasy is 20% less than the number of novels on thriller, then what is the number of novels on historical in the library?Solution
Let the number of novels on historical, thriller and fantasy be x, y and z respectively. Given, (x + y + z)/3 = 30 => x + y + z = 90 ….. (1) And, (x + z)/2 = 25 => x + z = 50 ….. (2) From equation 1 and 2 Number of novels on thriller = y = 40 Number of novels on fantasy = 0.80 × 40 = 32 Therefore, number of novels on historical = 90 – (40 + 32) = 18
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The greatest number of four digits which when divided by 5, 7, 9 leave remainders 3, 5, 7 respectively is:
