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