Question

The sum of two numbers is 25 and the sum of their reciprocals is 1/6. Find the numbers

Answer 1

Answer:

The number is 10 and 15....

Answer 2

Answer: 15 and 10

Explanation:

Let 'x' and 'y' be the numbers.

Given: x + y = 25 ..(1)

(1/x) + (1/y) = 1/6 ..(2)

.°. x = 25 - y

Putting value of x in (2)

1/(25 - y) + 1/y = 1/6

now- multiply both sides by 6(25-y) y

6y + 6(25 - y) = (25 - y) y

6y + 150 - 6y = 25y - y²

=> y² - 25y + 150 = 0

thus- y² - 15y + 10y + 150 = 0

y = 15, 10.

Thus, two numbers are 15, 10