Question

divide 40 into two parts such that the sum of their reciprocals is 2/15. What are the two numbers?
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Answer 1

Answer:

x=30 or x=10

Step-by-step explanation:

1/x+1/(40-x)=2/5

20/(4x-x²)=1/5

20×15=40x-x²

x²-40x+300=0

x²-10x-30x+300=0

x(x-10)-30(x-10)=0

(x-10)(x-30)=0

Therefore, x=10 or x=30

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