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Sum of eight consecutive odd numbers is 656. Average of four consecutive even numbers is 87. What is the sum of the largest even number and largest odd number?
- a)171
- b)191
- c)101
- d)181
- e)179
Correct answer is option 'E'. Can you explain this answer?
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Verified Answer
Sum of eight consecutive odd numbers is 656. Average of four consecuti...
odd numbers — x-8, x-6, x-4, x-2, x, x+2, x+4, x+6
x-8 + x-6 + x-4 + x-2 + x + x+2 + x+4 + x+6 = 656
8x – 8 =656
x = 83
Even numbers — y-2, y, y+2, y+4
4y + 4 = 87 * 4
y = 86
sum of the largest even number and odd number = 89 + 90 = 179
x-8 + x-6 + x-4 + x-2 + x + x+2 + x+4 + x+6 = 656
8x – 8 =656
x = 83
Even numbers — y-2, y, y+2, y+4
4y + 4 = 87 * 4
y = 86
sum of the largest even number and odd number = 89 + 90 = 179
Most Upvoted Answer
Sum of eight consecutive odd numbers is 656. Average of four consecuti...
Given information:
- Sum of eight consecutive odd numbers is 656.
- Average of four consecutive even numbers is 87.
We need to find the sum of the largest even number and largest odd number.
Solution:
Let's start by finding the eight consecutive odd numbers whose sum is 656.
Let the first odd number be x.
Then, the second odd number will be x + 2.
Similarly, the third odd number will be x + 4, and so on.
The eight consecutive odd numbers will be:
x + (x + 2) + (x + 4) + (x + 6) + (x + 8) + (x + 10) + (x + 12) + (x + 14)
Simplifying the above expression, we get:
8x + 56 = 656
8x = 600
x = 75
Therefore, the eight consecutive odd numbers are:
75, 77, 79, 81, 83, 85, 87, 89
Next, let's find the four consecutive even numbers whose average is 87.
Let the first even number be y.
Then, the second even number will be y + 2.
Similarly, the third even number will be y + 4, and so on.
The four consecutive even numbers will be:
y + (y + 2) + (y + 4) + (y + 6)
Simplifying the above expression, we get:
4y + 12 = 348
4y = 336
y = 84
Therefore, the four consecutive even numbers are:
84, 86, 88, 90
Finally, we need to find the sum of the largest even number (90) and largest odd number (89).
Sum = 90 + 89 = 179
Hence, the answer is option E (179).
- Sum of eight consecutive odd numbers is 656.
- Average of four consecutive even numbers is 87.
We need to find the sum of the largest even number and largest odd number.
Solution:
Let's start by finding the eight consecutive odd numbers whose sum is 656.
Let the first odd number be x.
Then, the second odd number will be x + 2.
Similarly, the third odd number will be x + 4, and so on.
The eight consecutive odd numbers will be:
x + (x + 2) + (x + 4) + (x + 6) + (x + 8) + (x + 10) + (x + 12) + (x + 14)
Simplifying the above expression, we get:
8x + 56 = 656
8x = 600
x = 75
Therefore, the eight consecutive odd numbers are:
75, 77, 79, 81, 83, 85, 87, 89
Next, let's find the four consecutive even numbers whose average is 87.
Let the first even number be y.
Then, the second even number will be y + 2.
Similarly, the third even number will be y + 4, and so on.
The four consecutive even numbers will be:
y + (y + 2) + (y + 4) + (y + 6)
Simplifying the above expression, we get:
4y + 12 = 348
4y = 336
y = 84
Therefore, the four consecutive even numbers are:
84, 86, 88, 90
Finally, we need to find the sum of the largest even number (90) and largest odd number (89).
Sum = 90 + 89 = 179
Hence, the answer is option E (179).
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Community Answer
Sum of eight consecutive odd numbers is 656. Average of four consecuti...
Given:
- Sum of eight consecutive odd numbers = 656
- Average of four consecutive even numbers = 87
To Find:
- Sum of the largest even number and largest odd number
Solution:
Let's first find the eight consecutive odd numbers.
Let the first odd number be x.
Then the next seven odd numbers would be: x+2, x+4, x+6, x+8, x+10, x+12, x+14.
The sum of these eight odd numbers would be:
x + (x+2) + (x+4) + (x+6) + (x+8) + (x+10) + (x+12) + (x+14)
= 8x + 56
According to the question, this sum is equal to 656. So,
8x + 56 = 656
8x = 600
x = 75
Therefore, the eight consecutive odd numbers are:
75, 77, 79, 81, 83, 85, 87, 89
Now, let's find the four consecutive even numbers.
Let the first even number be y.
Then the next three even numbers would be: y+2, y+4, y+6.
The average of these four even numbers would be:
(y + y+2 + y+4 + y+6)/4 = 87
4y + 12 = 348
4y = 336
y = 84
Therefore, the four consecutive even numbers are:
84, 86, 88, 90
The largest even number is 90 and the largest odd number is 89.
So, the sum of the largest even number and the largest odd number would be:
90 + 89 = 179
Hence, the answer is option E (179).
- Sum of eight consecutive odd numbers = 656
- Average of four consecutive even numbers = 87
To Find:
- Sum of the largest even number and largest odd number
Solution:
Let's first find the eight consecutive odd numbers.
Let the first odd number be x.
Then the next seven odd numbers would be: x+2, x+4, x+6, x+8, x+10, x+12, x+14.
The sum of these eight odd numbers would be:
x + (x+2) + (x+4) + (x+6) + (x+8) + (x+10) + (x+12) + (x+14)
= 8x + 56
According to the question, this sum is equal to 656. So,
8x + 56 = 656
8x = 600
x = 75
Therefore, the eight consecutive odd numbers are:
75, 77, 79, 81, 83, 85, 87, 89
Now, let's find the four consecutive even numbers.
Let the first even number be y.
Then the next three even numbers would be: y+2, y+4, y+6.
The average of these four even numbers would be:
(y + y+2 + y+4 + y+6)/4 = 87
4y + 12 = 348
4y = 336
y = 84
Therefore, the four consecutive even numbers are:
84, 86, 88, 90
The largest even number is 90 and the largest odd number is 89.
So, the sum of the largest even number and the largest odd number would be:
90 + 89 = 179
Hence, the answer is option E (179).
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Sum of eight consecutive odd numbers is 656. Average of four consecutive even numbers is 87. What is the sum of the largest even number and largest odd number?a)171b)191c)101d)181e)179Correct answer is option 'E'. Can you explain this answer?
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Sum of eight consecutive odd numbers is 656. Average of four consecutive even numbers is 87. What is the sum of the largest even number and largest odd number?a)171b)191c)101d)181e)179Correct answer is option 'E'. 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 Sum of eight consecutive odd numbers is 656. Average of four consecutive even numbers is 87. What is the sum of the largest even number and largest odd number?a)171b)191c)101d)181e)179Correct answer is option 'E'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Sum of eight consecutive odd numbers is 656. Average of four consecutive even numbers is 87. What is the sum of the largest even number and largest odd number?a)171b)191c)101d)181e)179Correct answer is option 'E'. Can you explain this answer?.
Sum of eight consecutive odd numbers is 656. Average of four consecutive even numbers is 87. What is the sum of the largest even number and largest odd number?a)171b)191c)101d)181e)179Correct answer is option 'E'. 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 Sum of eight consecutive odd numbers is 656. Average of four consecutive even numbers is 87. What is the sum of the largest even number and largest odd number?a)171b)191c)101d)181e)179Correct answer is option 'E'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Sum of eight consecutive odd numbers is 656. Average of four consecutive even numbers is 87. What is the sum of the largest even number and largest odd number?a)171b)191c)101d)181e)179Correct answer is option 'E'. Can you explain this answer?.
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