Question

Sum of two numbers is 40 and their product is 375. what is the sum of their reciprocals?​

Answer 1

Answer:

8/75

Step-by-step explanation:

Let the two numbers be x and y.

x + y = 40

x × y = 375

x = 40 - y

(40 - y)y = 375

40y - y² = 375

y² - 40y + 375

(y-15) and (y-25)

y = 15 (Take 15 or 25 as they both are having - )

Then, x = 25

1/15 + 1/25 = 40/375 = 8/75

HOPE IT HELPS......