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05 May 2017, 03:13
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The average (arithmetic mean) of two integers a and b is 8. If the average (arithmetic mean) of integers b and c is 13, what is the positive difference between a and c?
A. 26
B. 21
C. 10
D. 5
E. It cannot be determined from the information given.
A. 26
B. 21
C. 10
D. 5
E. It cannot be determined from the information given.
05 May 2017, 07:42
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From the question,
a+b=16
Therefore, b=16-a and
b+c=26
Therefore, b=26-c
Equating both RHS as LHS are equal
16-a=26-c
-a+c=10
Hence IMO C
But it can also be that the integers are negative since it is not specified whether they are positive or not!
This may lead to answer choice E
Please tell me if I am doing it correctly
Thanks
Sent from my SM-N9200 using GMAT Club Forum mobile app
a+b=16
Therefore, b=16-a and
b+c=26
Therefore, b=26-c
Equating both RHS as LHS are equal
16-a=26-c
-a+c=10
Hence IMO C
But it can also be that the integers are negative since it is not specified whether they are positive or not!
This may lead to answer choice E
Please tell me if I am doing it correctly
Thanks
Sent from my SM-N9200 using GMAT Club Forum mobile app
05 May 2017, 09:12
Kudos
Bookmarks
Bunuel
The average (arithmetic mean) of two integers a and b is 8. If the average (arithmetic mean) of integers b and c is 13, what is the positive difference between a and c?
A. 26
B. 21
C. 10
D. 5
E. It cannot be determined from the information given.
A. 26
B. 21
C. 10
D. 5
E. It cannot be determined from the information given.
a + b = 16
b + c = 26
Now, ( a + b ) - ( b + c ) = 16 - 26
Or, a - c = - 10
So, The positive difference between a and c is 10, answer must be (C) 10
