Question

Divide 50 into two parts so that the sum of their reciprocal is 1/12.

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Answer 1

Answer:

Step-by-step explanation:

60-10=50

1/60-1/10=1-6/60

=5/60=1/12

Answer 2

let first part be x

second part = 50 -x

according to given condition

1/x + 1/50-x = 1/12

50-x+x/50x-x^2 = 1/12

50/50x-x^2 = 1/12

600 =50x-x^2

x^2-50x + 600 = 0

x^2-30x-20x+600 =0

x( x-30) -20 (x-30) =0

( x-30) (x-20 ) =0

×-30=0 or x-20 = 0

x=30 or x = 20