Question

The sum of two numbers is 8 and the sum of their reciprocal is 8/15. Find the
numbers.​

Answer 1

Answer:

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Step-by-step explanation:

Let the two numbers be x and y. Then,

x+y=8

x

1

+

y

1

=

15

8

xy

x+y

=

15

8

xy=15

Now, (x−y)=

(x+y)

2

−4xy

=

64−60

=±2

Therefore,

x+y=8 and x−y=2 or x+y=8 and x−y=−2

Solving these, we get,

x=5 and y=3 or x=3 and y=5

Therefore, the required numbers are 3 and 5