Question

Divide 36 into two parts such that sum of their reciprocals is 1 by 8

Answer 1

Answer:

1/2, 1/34

Or

1/12, 1/24

Step-by-step explanation:

Let the parts be x and 36-x

So,

1/x + 1/36-x = 1/8

Taking lcm,

(36-x+x)/36x-x² = 1/8

8(36)=36x-x²

288= 36x-x²

-x²+36x-288

X²-36x+288

X²-12x-24x+288

X(x-12)-2(x-12)

(x-2)(x-12)

X can be 2 or 12

So,

1/2, 1/34

Or

1/12, 1/24