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Updated on: 15 Aug 2022, 23:53
Originally posted by ShahadatHJ on 09 Aug 2022, 07:21.
Last edited by ShahadatHJ on 15 Aug 2022, 23:53, edited 1 time in total.
Last edited by ShahadatHJ on 15 Aug 2022, 23:53, edited 1 time in total.
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E
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Difficulty:
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73% (02:22) correct
27%
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The average of 9 numbers is 15. The average of the 5 smallest numbers in this list is 9 and the average of the 5 greatest numbers in the list is 20. What is the ratio of the sum of the 4 greatest numbers to the sum of the 4 smallest numbers?
A. 20:7
B. 20:9
C. None
D. 9:20
E. 18:7
A. 20:7
B. 20:9
C. None
D. 9:20
E. 18:7
09 Aug 2022, 10:00
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ShahadatHJ
Sum of all 9 = 9*15 = 135.
Sum of 5 smallest = 5*9 = 45. So, sum of 4 greatest = 135-45 = 90.
Sum of 5 greatest = 5*20 = 100. So, sum of 4 smallest = 135-100 = 35.
90:35 = 18:7
Answer choice E.
General Discussion
09 Aug 2022, 07:30
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The average of 9 numbers is 15. The average of the 5 smallest numbers in this list is 9 and the average of the 5 greatest numbers in the list is 20. What is the ratio of the sum of the 4 greatest numbers to the sum of the 4 smallest numbers?
Solution
A1>A2>A3>A4>A5>A6>A7>A8>A9
Total of 9 number =135....1
Total of A9+A8+A7+A6+A5=45
Total of A1+A2+A3+A4+A5=100
Total of both is
A1+A2+A3+A4+2A5+A6+A7+A8+A9=145..,...2
From 1 and 2
We get A5=10
A1+A2+A3+A4=90....3
A9+A8+A7+A6=35....4
Ratio of 3 is to 4
90/35=18/7
Posted from my mobile device
Solution
A1>A2>A3>A4>A5>A6>A7>A8>A9
Total of 9 number =135....1
Total of A9+A8+A7+A6+A5=45
Total of A1+A2+A3+A4+A5=100
Total of both is
A1+A2+A3+A4+2A5+A6+A7+A8+A9=145..,...2
From 1 and 2
We get A5=10
A1+A2+A3+A4=90....3
A9+A8+A7+A6=35....4
Ratio of 3 is to 4
90/35=18/7
Posted from my mobile device
Nope! 
