Math, asked by ajaymajay75, 18 hours ago

The sum of two numbers is 8. Determine the numbers if the sum of their reciprocal is 8/15​

Answers

Answered by navanithishere
1

Answer: The numbers are 5 and 3

Step-by-step explanation:

Given,

The sum of two numbers is 8. We have to find out the numbers if the sum of their reciprocal is 8/15​

Let the numbers be x and y

x+y=8→equation 1

1/x+1/y=8/15

So,(x+y)/xy=8/15

xy=15

y=15/x

Substituting equaion1

x+(15/x)=8

x^2+15=8x

x^2-8x+15=0

(x-3)(x-5)=0

x=3,5

Thus, y=5,3

The numbers are 5 and 3

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