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The average of 18 numbers is 52. The average of the first 8 numbers is 62 and the average of the next 7 numbers is 45. If the 16th number is 6 less than the 17th number and the 17th number is one more than the 18th nmber, then what is the average of the 16th and 18th numbers? (SSC Sub. Ins. 2018 )
- a)40.5
- b)40
- c)39
- d)39.5
Correct answer is option 'A'. Can you explain this answer?
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Most Upvoted Answer
The average of 18 numbers is 52. The average of the first 8 numbers is...
Sum of 18 numbers = 18 × 52 = 936
Sum of first 8 numbers = 62 × 8 = 496
Sum of next 7 numbers = 45 × 7 = 315
Sum of 16th, 17th and 18th numbers = 936 – 496 – 315= 125
Now, let 17th number is x.
then, 16th number is (x – 6).
and 18th number is (x – 1).
so, (x – 6) + x + (x – 1) = 125.
3x – 7 = 125 ⇒ 3x = 132.
x = 132/3 = 44.
Average of 16th and 18th number =
= 40.5.
Sum of first 8 numbers = 62 × 8 = 496
Sum of next 7 numbers = 45 × 7 = 315
Sum of 16th, 17th and 18th numbers = 936 – 496 – 315= 125
Now, let 17th number is x.
then, 16th number is (x – 6).
and 18th number is (x – 1).
so, (x – 6) + x + (x – 1) = 125.
3x – 7 = 125 ⇒ 3x = 132.
x = 132/3 = 44.
Average of 16th and 18th number =
= 40.5.
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Community Answer
The average of 18 numbers is 52. The average of the first 8 numbers is...
Given Information:
- Average of 18 numbers = 52
- Average of the first 8 numbers = 62
- Average of the next 7 numbers = 45
- 16th number = 17th number - 6
- 17th number = 18th number + 1
Solution:
- Total sum of 18 numbers = 18 * 52 = 936
- Total sum of first 8 numbers = 8 * 62 = 496
- Total sum of next 7 numbers = 7 * 45 = 315
- Total sum of the first 15 numbers = 496 + 315 = 811
Calculations:
- Sum of the 16th, 17th, and 18th numbers = 936 - 811 = 125
- Since 17th number = 18th number + 1, let's assume the 18th number = x
- So, 17th number = x + 1 and 16th number = x + 1 - 6 = x - 5
- Sum of 16th, 17th, and 18th numbers = (x - 5) + (x + 1) + x = 3x - 4
- Therefore, x = 41, so the 18th number = 41, 17th number = 42, and 16th number = 36
Find Average:
- Average of 16th and 18th numbers = (36 + 41) / 2 = 77 / 2 = 38.5
Hence, the average of the 16th and 18th numbers is 38.5.
- Average of 18 numbers = 52
- Average of the first 8 numbers = 62
- Average of the next 7 numbers = 45
- 16th number = 17th number - 6
- 17th number = 18th number + 1
Solution:
- Total sum of 18 numbers = 18 * 52 = 936
- Total sum of first 8 numbers = 8 * 62 = 496
- Total sum of next 7 numbers = 7 * 45 = 315
- Total sum of the first 15 numbers = 496 + 315 = 811
Calculations:
- Sum of the 16th, 17th, and 18th numbers = 936 - 811 = 125
- Since 17th number = 18th number + 1, let's assume the 18th number = x
- So, 17th number = x + 1 and 16th number = x + 1 - 6 = x - 5
- Sum of 16th, 17th, and 18th numbers = (x - 5) + (x + 1) + x = 3x - 4
- Therefore, x = 41, so the 18th number = 41, 17th number = 42, and 16th number = 36
Find Average:
- Average of 16th and 18th numbers = (36 + 41) / 2 = 77 / 2 = 38.5
Hence, the average of the 16th and 18th numbers is 38.5.
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The average of 18 numbers is 52. The average of the first 8 numbers is 62 and the average of the next 7 numbers is 45. If the 16th number is 6 less than the 17th number and the 17th number is one more than the 18th nmber, then what is the average of the 16th and 18th numbers? (SSC Sub. Ins. 2018 )a)40.5b)40c)39d)39.5Correct answer is option 'A'. Can you explain this answer?
Question Description
The average of 18 numbers is 52. The average of the first 8 numbers is 62 and the average of the next 7 numbers is 45. If the 16th number is 6 less than the 17th number and the 17th number is one more than the 18th nmber, then what is the average of the 16th and 18th numbers? (SSC Sub. Ins. 2018 )a)40.5b)40c)39d)39.5Correct answer is option 'A'. Can you explain this answer? for SSC CGL 2024 is part of SSC CGL preparation. The Question and answers have been prepared according to the SSC CGL exam syllabus. Information about The average of 18 numbers is 52. The average of the first 8 numbers is 62 and the average of the next 7 numbers is 45. If the 16th number is 6 less than the 17th number and the 17th number is one more than the 18th nmber, then what is the average of the 16th and 18th numbers? (SSC Sub. Ins. 2018 )a)40.5b)40c)39d)39.5Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for SSC CGL 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The average of 18 numbers is 52. The average of the first 8 numbers is 62 and the average of the next 7 numbers is 45. If the 16th number is 6 less than the 17th number and the 17th number is one more than the 18th nmber, then what is the average of the 16th and 18th numbers? (SSC Sub. Ins. 2018 )a)40.5b)40c)39d)39.5Correct answer is option 'A'. Can you explain this answer?.
The average of 18 numbers is 52. The average of the first 8 numbers is 62 and the average of the next 7 numbers is 45. If the 16th number is 6 less than the 17th number and the 17th number is one more than the 18th nmber, then what is the average of the 16th and 18th numbers? (SSC Sub. Ins. 2018 )a)40.5b)40c)39d)39.5Correct answer is option 'A'. Can you explain this answer? for SSC CGL 2024 is part of SSC CGL preparation. The Question and answers have been prepared according to the SSC CGL exam syllabus. Information about The average of 18 numbers is 52. The average of the first 8 numbers is 62 and the average of the next 7 numbers is 45. If the 16th number is 6 less than the 17th number and the 17th number is one more than the 18th nmber, then what is the average of the 16th and 18th numbers? (SSC Sub. Ins. 2018 )a)40.5b)40c)39d)39.5Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for SSC CGL 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The average of 18 numbers is 52. The average of the first 8 numbers is 62 and the average of the next 7 numbers is 45. If the 16th number is 6 less than the 17th number and the 17th number is one more than the 18th nmber, then what is the average of the 16th and 18th numbers? (SSC Sub. Ins. 2018 )a)40.5b)40c)39d)39.5Correct answer is option 'A'. Can you explain this answer?.
Solutions for The average of 18 numbers is 52. The average of the first 8 numbers is 62 and the average of the next 7 numbers is 45. If the 16th number is 6 less than the 17th number and the 17th number is one more than the 18th nmber, then what is the average of the 16th and 18th numbers? (SSC Sub. Ins. 2018 )a)40.5b)40c)39d)39.5Correct answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for SSC CGL.
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ample number of questions to practice The average of 18 numbers is 52. The average of the first 8 numbers is 62 and the average of the next 7 numbers is 45. If the 16th number is 6 less than the 17th number and the 17th number is one more than the 18th nmber, then what is the average of the 16th and 18th numbers? (SSC Sub. Ins. 2018 )a)40.5b)40c)39d)39.5Correct answer is option 'A'. Can you explain this answer? tests, examples and also practice SSC CGL tests.
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