Problem:
What is the reciprocal of 21β+32β?
Answer Choices:
A. 76β
B. 67β
C. 35β
D. 3
E. 27β
Solution:
Note that
21β+32β=63β+64β=67β
The reciprocal of 67β is 76ββ.
The problems on this page are the property of the MAA's American Mathematics Competitions