Question

the sum of of 2 natural number is 9 and the sum of their reciprocal is 9/20 find the number
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Answer 1

Answer:

5 and 4

Step-by-step explanation:

Answer 2

let one number be x and second number be (9-x)

1/x+1/9-x=9/20

(9-x)+x/x(9-x)=9/20 -------(taking lcm)

9-x+x/9x-x²=9/20 ---------(canceling x in numerator)

180=9(9x-x²) ----------(cross multiplying)

20=9x-x²------------(dividing by 3)

x²-9x+20=0

x²-4x-5x+20=0

x(x-4)-5(x-4)

(x-5)(x-4)

therefore x=5 or x=4