Problem:
If times a number is , then times the reciprocal of the number is
Answer Choices:
A.
B.
C.
D.
E.
Solution:
To find the number, divide by to obtain . The reciprocal of is , and times equals .
Let be the unknown number. Then so . The reciprocal of is , and .
Answer: .
The problems on this page are the property of the MAA's American Mathematics Competitions