Question

The difference between two positive numbers x and y (x>y)is 4 and the difference between their reciprocals is 4/21.Find the numbers. x>y=1/x <1/y

Answer 1

Aplology for bad handwriting...



Thanks

Answer 2

Answer:

Step-by-step explanation:

Given

x-y=4 (1)

(x- y)/xy=4/21

4/xy=4/21 (as given x- y=4)

xy=21

x=4+y from (1)

(4+y)y=21

Solving this we get

=y^2+7y-21

=y^2+7y-3y-21

y(y+7)-3(y+7)=0

Your numbers are 7 and 3