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If the sum of five consecutive odd numbers is 255 then find the sum of largest and smallest number.
- a)102
- b)100
- c)98
- d)106
- e)data inadequate
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
If the sum of five consecutive odd numbers is 255 then find the sum of...
SUm of 5 odd numbers = 255
Average = 255/5 = 51
47…..49…..51……53……55
Average = 51
Sum of largest and small number = 47+55 = 102
Most Upvoted Answer
If the sum of five consecutive odd numbers is 255 then find the sum of...
Solution:
Let us assume that the first odd number is 'x'
Then, the next four consecutive odd numbers would be x+2, x+4, x+6 and x+8
As per the given information, the sum of these five consecutive odd numbers is 255.
Therefore, we can write an equation as follows:
x + (x+2) + (x+4) + (x+6) + (x+8) = 255
Simplifying the above equation, we get:
5x + 20 = 255
5x = 235
x = 47
Hence, the first odd number is 47.
The five consecutive odd numbers are 47, 49, 51, 53 and 55.
Therefore, the sum of the largest and smallest numbers is:
47 + 55 = 102
Hence, the correct answer is option 'A' (102).
Let us assume that the first odd number is 'x'
Then, the next four consecutive odd numbers would be x+2, x+4, x+6 and x+8
As per the given information, the sum of these five consecutive odd numbers is 255.
Therefore, we can write an equation as follows:
x + (x+2) + (x+4) + (x+6) + (x+8) = 255
Simplifying the above equation, we get:
5x + 20 = 255
5x = 235
x = 47
Hence, the first odd number is 47.
The five consecutive odd numbers are 47, 49, 51, 53 and 55.
Therefore, the sum of the largest and smallest numbers is:
47 + 55 = 102
Hence, the correct answer is option 'A' (102).
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If the sum of five consecutive odd numbers is 255 then find the sum of largest and smallest number.a)102b)100c)98d)106e)data inadequateCorrect answer is option 'A'. Can you explain this answer?
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