Question

the sum of two natural numbers is 9 and the sum of their reciprocal is 9/20.find the numbers

Answer 1

Answer:

The two numbers are 5 and 4

Step by step explanation:

Let the numbers be x and y

Given,

1) Sum of the two natural number is 9

X+Y = 9 ....(1)

2) Sum of the reciprocal is 9/20

1/x + 1/y = 9/20

(x + y) / xy = 9/20 ....(2)

Using (1) in (2)

9/xy = 9/20

xy = 20 .....(3)

Using (1) in (3)

x (9-x) = 20

x^2 - 9x + 20 = 0

(x-5) (x-4) = 0

x=5 or x=4 ....(4)

Using (4) in (1),

If x=5, then y=4

If x=4 , then y=5

Answer 2

Answer:

no problem at all work together to make sure