Question

Divide 15 into two parts such that sum of their reciprocal will be 5/12

Answer 1

Step-by-step explanation:

1/x + 1/y = 5/12

x+y/xy = 5/12

15/xy = 5/12

xy = 15*12/5 = 3*12 = 36

x + y = 15

x - y = √(x+y)²-4xy

= √225 - 144 = √81 = 9

x + y = 15

x - y = 9

-------------

2x = 24 , x = 12

y = 3

means 15 = 12 + 3