Question

The sum of two number is x and the sum of their reciprocals is 8/15. Find the number ?

Answer 1

Step-by-step explanation:

Solution:

Let the two numbers be x & y respectively.

As per 1st condition,

x+y=8

As per 2nd condition,

1/x + 1/y =8/15

Therefore, (x+y)/x.y =8/15

We already know that x+y=8

Hence, 8/x.y=8/15

Therefore, x.y=15

Now, only two solutions are possible

(x,y)=(3,5) or (1,15)

However, 1+15 is not equal to 8 (1st condition)

Hence the only solution is that the tw

Answer 2

Hii

you are welcome in my ans

let two number be a and b

a + b = x

x/ab = 8/15

ab =15x/8

(a - b)^2 = x^2 - x8/15

a - b = sqrt(x^2 - 8x/15)

a = (x + sqrt(x^2 - 8x/15))/2

b = (x - sqrt(x^2 - 8x/15))/2

____/\____☺️

hope it may helps you✊✌️