50 is divided into two parts such that the sum of their reciprocals is 1/12. Find the two parts. Select the correct option: A) 40,10 B) 22,28 C) 25,25 D) 35,15 E) 30,20
Let the two parts be x and (50 - x).   Then, 1 / x + 1 / (50 – x) = 1 / 12 =&gt; (50 – x + x) / x ( 50 – x) = 1/12   =&gt; x^2 – 50x + 600 = 0 =&gt; (x – 30)( x – 20)=0 =&gt; x = 30 or x = 20.   So, the parts are 30 and 20.   Answer 30,20)30,20.
<result>E</result>
50 is divided into two parts such that the sum of their reciprocals is 1/12. Find the two parts.