Question

Find the two numbers if sum of them is 8 and sum of their reciprocals is 8\15

Answer 1

Answer:

a+b=8 and a.1/b=8/15

Step-by-step explanation:

put te value of a i n second

Answer 2

Answer:

x+y=8

1/x+1/y=8/15

x+y/xy=8/15

15x+15y=8xy --- [1]

120-15y +15y= 64y - 8y²

8y²-64y+120=0

y²-8+15=0  ----- [2]

(y-3)(y-5)=0

When Y=5, X=3

When Y = 3, X = 5

Step-by-step explanation:

x+y=8

take x=8-y in eq.1

By Splitting the middle term in equation 2 we get Y=3 and 5