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There are thirteen 2-digit consecutive odd numbers. If39 is the mean of the first live such numbers, then what is the mean of all the thirteen numbers?
- a)47
- b)49
- c)51
- d)45
Correct answer is option 'A'. Can you explain this answer?
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There are thirteen 2-digit consecutive odd numbers. If39 is the mean o...
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There are thirteen 2-digit consecutive odd numbers. If39 is the mean o...
Mean of first 5 consecutive odd numbers = 39
Let the first odd number be x.
Then, the next four odd numbers will be x+2, x+4, x+6 and x+8.
According to the given information,
( x + (x+2) + (x+4) + (x+6) + (x+8))/5 = 39
5x + 20 = 195
5x = 175
x = 35
The first odd number is 35.
The thirteen 2-digit consecutive odd numbers are:
35, 37, 39, 41, 43, 45, 47, 49, 51, 53, 55, 57, 59
Mean of all thirteen numbers = (35+37+39+...+59)/13
= [(35+59)*13/2]/13
= 47
Therefore, the mean of all thirteen numbers is 47, which is option A.
Let the first odd number be x.
Then, the next four odd numbers will be x+2, x+4, x+6 and x+8.
According to the given information,
( x + (x+2) + (x+4) + (x+6) + (x+8))/5 = 39
5x + 20 = 195
5x = 175
x = 35
The first odd number is 35.
The thirteen 2-digit consecutive odd numbers are:
35, 37, 39, 41, 43, 45, 47, 49, 51, 53, 55, 57, 59
Mean of all thirteen numbers = (35+37+39+...+59)/13
= [(35+59)*13/2]/13
= 47
Therefore, the mean of all thirteen numbers is 47, which is option A.
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