Question

the sum of two numbers is 20 and their product is 75. What is the sum of their reciprocals

Answer 1

a+b=20
ab=75
$\frac{1}{a} + \frac{1}{b} \\ = \frac{b + a}{ab} \\ = \frac{20}{75} \\ = \frac{4}{15}$

Answer 2

HERE IS YOUR ANSWER


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let the numbers be a and b

1》a+b=20
2》a*b=75

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1》B = 20-a
substitute this into (2)

2》a*(20-a)=75

2》20a -a2=75
2》 a2 - 20a +75=0

I see by looking at this :

2》(a-5)*(a-15)=0
a=5
1》 b=20-a
1》b=15
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1. 1. 3. 1
_ + _ = _ + _
5. 15. 15. 15

1. 1. 4
_+ _ =_ = answer
5. 15. 15


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