Question

divide 27 into two parts such that the sum of their reciprocal is 3 by 20​

Answer 1

Hey dear❤

x+y=27

1/x + 1/y =3/20

on solving we get

xy=180

On substituting

x (27-x)=180

x^2-27x+180=0

(x-12)(x-15)=0

On solving we get,

x=12

or

x=15

Hope it helps you
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ALL THE BEST FOR UR MATHS EXAM

Answer 2

Let number = x

Another number = 27 - x

According to question;

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

(27 - x + x)/(27x - x²) = 3/20

Cross-multiply,

20(27) = 3(27x - x²)

540 = 81M - 3x²

x² - 27x + 180 = 0

x² - 15x - 12x + 180 = 0

x(x - 15) -12(x - 15) = 0

(x - 12) (x - 15) = 0

x = 12, 15