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prernamalhotra
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Hi,
Please help with the below question, can't figure where I am going wrong :
The number x is the average (arithmetic mean) of the positive numbers a and b, and the reciprocal of the number y is the average (arithmetic mean) of the reciprocals of a and b. In terms of a and b, x - y = ?
1) (A^2 + B^2)/ 2(A+B)
2) (A-B)^2/ 2 (A+B)
3) (A+B)/2
4) (A-B)/2
5) 0
My approach was to test this with numbers:
a=2, b=4 Therefore x= 3
and 1/y=3/4, y=4/3
x-y = 5/3, this matches with answer choice (1).
Thank you,
Prerna
Please help with the below question, can't figure where I am going wrong :
The number x is the average (arithmetic mean) of the positive numbers a and b, and the reciprocal of the number y is the average (arithmetic mean) of the reciprocals of a and b. In terms of a and b, x - y = ?
1) (A^2 + B^2)/ 2(A+B)
2) (A-B)^2/ 2 (A+B)
3) (A+B)/2
4) (A-B)/2
5) 0
My approach was to test this with numbers:
a=2, b=4 Therefore x= 3
and 1/y=3/4, y=4/3
x-y = 5/3, this matches with answer choice (1).
Thank you,
Prerna
