Question

The sum of two numbers is 40 and their product is 3680.the sum of their reciprocals is

Answer 1

Find the answer below

Answer 2

Answer:

Option D :  $\frac{ 1 }{ 92 }$

Step-by-step explanation:

Let the numbers be x , y

According to question,

Sum of numbers = 40

x + y = 40

Also, product = 3680

xy = 3680

Sum of reciprocals :

= $\frac{1}{x}$ + $\frac{1}{x}$

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

Substituting the values of ( x+y ) and xy ,

= $\frac{ 40 }{ 3680 }$ = $\frac{ 1 }{ 92 }$

Hence, the sum of reciprocals is $\frac{ 1 }{ 92 }$