Question

the sum of two numbers is 20 and their product is 91 what will be the sum of the reciprocals

Answer 1

Define x:

Let one number be x

The other number is 20 - x

Form equation and solve x:

Their product is 91

x (20 - x) = 91

20x - x² = 91

x² - 20x + 91 = 0

(x - 7) (x - 13) = 0

x = 7 or 13

Find the numbers:

The numbers are 7 and 13

Find the sum of the reciprocals:

1/7 + 1/13 = 20/91

Answer: 20/91

Answer 2

Hey friend here is your answer!!☺️☺️☺️


we have to find reciprocal so
Let one no be a and other be b.
1/a + 1/b
=a + b/ab

=20/91 (a + b = 20; ab = 91){given in question}
So sum of reciprocal of two numbers is 20/91


☺️☺️hope it helps☺️☺️