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Five different natural number are written in the ascending order. The average of first three is ten, the average of middle three is 14 and that of last three is 35 .if middle number is 17 , the other four numbers are?
Most Upvoted Answer
Five different natural number are written in the ascending order. The ...
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Community Answer
Five different natural number are written in the ascending order. The ...
Solution
Given Information
- Five natural numbers are written in ascending order
- Average of first three numbers is 10
- Average of middle three numbers is 14
- Average of last three numbers is 35
- Middle number is 17
Finding the First Number
- Average of first three numbers is 10
- Let the first number be x, the second number be y and the third number be z
- Therefore, (x+y+z)/3 = 10
- x+y+z = 30
Finding the Fourth and Fifth Number
- Average of last three numbers is 35
- Let the fourth number be a and the fifth number be b
- Therefore, (z+a+b)/3 = 35
- z+a+b = 105
Using the Middle Number
- The given middle number is 17
- Therefore, y = 17
Solving the Equations
- From x+y+z=30, we get x+z = 30-17 = 13
- From z+a+b=105, we get a+b = 105-17-17 = 71
- We know that x< />< />< />< />
- Therefore, the possible pairs of (x,z) are (1,12), (2,11), (3,10), (4,9), (5,8), (6,7)
- We know that a+b=71, and a>b>17. Therefore, the possible pairs of (a,b) are (36,35), (37,34), (38,33), (39,32), (40,31), (41,30), (42,29), (43,28), (44,27), (45,26), (46,25), (47,24), (48,23), (49,22), (50,21), (51,20), (52,19), (53,18)
Finding the Five Numbers
- We need to find the five numbers in ascending order
- For each pair of (x,z) and (a,b), we can find the five numbers as (x,z,y, a, b)
- Therefore, the possible five numbers are (1,12,17,36,35), (2,11,17,37,34), (3,10,17,38,33), (4,9,17,39,32), (5,8,17,
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Five different natural number are written in the ascending order. The average of first three is ten, the average of middle three is 14 and that of last three is 35 .if middle number is 17 , the other four numbers are?
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Five different natural number are written in the ascending order. The average of first three is ten, the average of middle three is 14 and that of last three is 35 .if middle number is 17 , the other four numbers are? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about Five different natural number are written in the ascending order. The average of first three is ten, the average of middle three is 14 and that of last three is 35 .if middle number is 17 , the other four numbers are? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Five different natural number are written in the ascending order. The average of first three is ten, the average of middle three is 14 and that of last three is 35 .if middle number is 17 , the other four numbers are?.
Five different natural number are written in the ascending order. The average of first three is ten, the average of middle three is 14 and that of last three is 35 .if middle number is 17 , the other four numbers are? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about Five different natural number are written in the ascending order. The average of first three is ten, the average of middle three is 14 and that of last three is 35 .if middle number is 17 , the other four numbers are? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Five different natural number are written in the ascending order. The average of first three is ten, the average of middle three is 14 and that of last three is 35 .if middle number is 17 , the other four numbers are?.
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