Question

The sum of two numbers is 2016 and their product is 32. The sum of their reciprocals is​

Answer 1

Answer:

a + b = 2016.

a × b = 32.

Then,

a+b/a×b = 2016/32

(1/a) + (1/b) = 2016/32 = 63.

⚡⚡Hope it will help you.⚡⚡

Answer 2

Answer:

The sum of their reciprocals is​ 63.

Step-by-step explanation:

Given : The sum of two numbers is 2016 and their product is 32.

To Find: The sum of their reciprocals is​

Solution:

Let the two numbers be x and y

Since we are given that The sum of two numbers is 2016

So, $x+y=2016$   ---1

We are also given that their product is 32.

So, $x \times y = 32$ ----2

The sum of their reciprocals :

$\Rightarrow \frac{1}{x}+\frac{1}{y}$

$\Rightarrow \frac{y+x}{xy}$

Using 1 and 2

$\Rightarrow \frac{2016}{32}$

$\Rightarrow 63$

Hence The sum of their reciprocals is​ 63.