Sum of two number is 50 & sum of three reciprocal is 1/12 so find these two numbers	Choose the correct choice from the following:
A) 30 & 29	B) 30 & 26	C) 30 & 24	D) 30 & 22	E) 30 & 20
Sol : x+y = 50 .....(1) x=50-y ....(2)   1x+1y=1121x+1y=112 ⇒y+xxy=112⇒12(y+x)=xy⇒y+xxy=112⇒12(y+x)=xy ...(3)   put (2) in (4)   ⇒⇒ 12(y+50-y)=(50-y)y   ⇒⇒ 12y+600-12y=50y-y2y2   ⇒⇒ y2y2-50y+600=0   ⇒⇒ y2y2-30y-20y+600=0   ⇒⇒ y(y-30)-20(y-30)=0   ⇒⇒ (y-20) (y-30)=0   y=20 or y=30   if y=20 then x = 30   or y=30 then x = 20   two numbers are 30 &amp; 20   Answer:30 &amp; 20
<result>E</result>
Sum of two number is 50 & sum of three reciprocal is 1/12 so find these two numbers