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The average of seven consecutive even numbers is 10. If the next three even numbers are included, then what is the new average?
- a)10
- b)12
- c)13
- d)14
Correct answer is option 'C'. Can you explain this answer?
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The average of seven consecutive even numbers is 10. If the next three...
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The average of seven consecutive even numbers is 10. If the next three...
Avg of 7 consecutive number = 10 4+6+8+10+12+14+16 / 7 10 is in middle if we add next 3 consecutive even numbers 4+6+8+10+12+14+16+18+20+22 / 10 logically average of this 10 numbers will be the MIDDLE number HERE in middle there is two numbers 12 and 14 we can consider average of this two 13 as average of that 10 even numbers
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The average of seven consecutive even numbers is 10. If the next three...
Given:
- The average of seven consecutive even numbers is 10.
To find:
- The new average if the next three even numbers are included.
Solution:
Let the seven consecutive even numbers be x, x+2, x+4, x+6, x+8, x+10 and x+12.
As per the given information, the average of these seven numbers is 10. Therefore, we can write:
(x + (x+2) + (x+4) + (x+6) + (x+8) + (x+10) + (x+12))/7 = 10
Simplifying the above equation, we get:
7x + 42 = 70
7x = 28
x = 4
So, the seven consecutive even numbers are 4, 6, 8, 10, 12, 14 and 16.
Now, if we include the next three even numbers, they will be 18, 20 and 22.
Therefore, the new set of numbers will be 4, 6, 8, 10, 12, 14, 16, 18, 20 and 22.
To find the new average, we need to add all these numbers and divide by the total count, which is 10.
(4+6+8+10+12+14+16+18+20+22)/10 = 130/10 = 13
Hence, the new average is 13.
Therefore, option (c) is the correct answer.
- The average of seven consecutive even numbers is 10.
To find:
- The new average if the next three even numbers are included.
Solution:
Let the seven consecutive even numbers be x, x+2, x+4, x+6, x+8, x+10 and x+12.
As per the given information, the average of these seven numbers is 10. Therefore, we can write:
(x + (x+2) + (x+4) + (x+6) + (x+8) + (x+10) + (x+12))/7 = 10
Simplifying the above equation, we get:
7x + 42 = 70
7x = 28
x = 4
So, the seven consecutive even numbers are 4, 6, 8, 10, 12, 14 and 16.
Now, if we include the next three even numbers, they will be 18, 20 and 22.
Therefore, the new set of numbers will be 4, 6, 8, 10, 12, 14, 16, 18, 20 and 22.
To find the new average, we need to add all these numbers and divide by the total count, which is 10.
(4+6+8+10+12+14+16+18+20+22)/10 = 130/10 = 13
Hence, the new average is 13.
Therefore, option (c) is the correct answer.
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The average of seven consecutive even numbers is 10. If the next three even numbers are included, then what is the new average?a)10b)12c)13d)14Correct answer is option 'C'. Can you explain this answer?
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The average of seven consecutive even numbers is 10. If the next three even numbers are included, then what is the new average?a)10b)12c)13d)14Correct answer is option 'C'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about The average of seven consecutive even numbers is 10. If the next three even numbers are included, then what is the new average?a)10b)12c)13d)14Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The average of seven consecutive even numbers is 10. If the next three even numbers are included, then what is the new average?a)10b)12c)13d)14Correct answer is option 'C'. Can you explain this answer?.
The average of seven consecutive even numbers is 10. If the next three even numbers are included, then what is the new average?a)10b)12c)13d)14Correct answer is option 'C'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about The average of seven consecutive even numbers is 10. If the next three even numbers are included, then what is the new average?a)10b)12c)13d)14Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The average of seven consecutive even numbers is 10. If the next three even numbers are included, then what is the new average?a)10b)12c)13d)14Correct answer is option 'C'. Can you explain this answer?.
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