Question

the sum of two numbers is 8 and the sum of their reciprocals is 8/15 find the numbers ​

Answer 1

Answer:

I don't know..........

Answer 2

Step-by-step explanation:

let the first no. be x

let the second no. be y

ATQ

x+y=8

1/x+1/y=8/15

y+x/xy=8/15

because x+y=8

so 8/xy=8/15

canceling 8 from both side

1/xy=1/15

xy=15

(x+y=8

x=y-8)

putting value of x

y(y-8)=15

y2-8y=15

y2-8y-15=0

spliting middle term

y2-5y+3y-15=0

taking common

y(y-5)3(y-5)

(y+3)(y-5)

y=-3, y=5