Question

difference between two numbers is 22 and their product is 240 what is the difference between their reciprocal​

Answer 1

Answer:

$-\frac{11}{120}$

Step-by-step explanation:

Let the numbers be x and y

$x - y = 22$

$xy = 240$

$\frac{1}{x} - \frac{1}{y} = \frac{y - x}{xy} = -\frac{22}{240} = -\frac{11}{120}$

Answer 2

Answer:

Step-by-step explanation:

Let the two numbers be x and 48 - x so that their sum is 48 It is given that the product of the two numbers us 432

Hence we have x(48 - x) = 432

⇒48x−x

2

−432=0

⇒x

2

−48x+432=0

⇒x

2

−36x−12x+432=0

⇒x(x−36)−12(x−36)=0

⇒(x−36)(x−12)=0

∴ Either x−36=0

⇒ x=36 or x−12=0 ⇒x=12

∴ When one number is 12 another number is 48 - 12 = 36 and when one number is 36 another number is 48 - 36 = 12