Question

Divide 27 into two Parts such that the sum of their reciprocal is 3/20​

Answer 1

Answer:

13.5 is the correct answer.

Step-by-step explanation:

dividing the 27 into two parts.

answer:it is 13.5.and the reciprocal is 3/20.ok....m

thanks....

Answer 2

Answer:

let y be one part

then the other part will be (27- y)

A/Q

1/y +1/(27- y) = 3/20

20{(27-y)+y}=3y(27-y)

540 = 3×27y - 3y^2

y^2 - 27y + 180 = 0

y^2 -12y -15y +180 = 0

y(y - 12) - 15(y -12) = 0

(y -12)(y - 15) = 0

y =12 or y = 15

hence the two numbers are 12&15