The sum of the two numbers is 11 and their product is 24. What is the sum of the reciprocals of these numbers ? Pick:  A) 11/24  B) 11/25  C) 13  D) 13/15  E) None
Let the numbers be   x   x and   y   y Then   x   +   y   =   11   x   y   =   24   x+y=11xy=24   Hence,   x   +   y   x   y   =   11   24   x+yxy=1124   ⇒   1   y   +   1   x   =   11   24   11/24nswer is 11/24
<result>A</result>
The sum of the two numbers is 11 and their product is 24. What is the sum of the reciprocals of these numbers ?