Average Practice Test 4

Question : 10 of 40

Marks: +1, -0

The average of 2 numbers is 6 and the average of their reciprocals is

3/16

. The numbers are ____.

Solution:

Average of two numbers = 6

⇒{x+y}/2=6

⇒x+ y = 12\or y=12-x

Average of their reciprocal

= 3/ 16

1/x+1/y=3/16

⇒16(x+y)=3xy

⇒16×12=3x(12-x)

⇒x^2-12x-32=0

⇒(x-4)(x-8)=0

x = 8, 4

The numbers are 8 and 4.

Go to Question:

Prev Question

Next Question