Problem:
What number is one third of the way from 41β to 43β?
Answer Choices:
A. 31β
B. 125β
C. 21β
D. 127β
E. 32β
Solution:
The number is
41β+31β(43ββ41β)=41β+31ββ
21β=41β+61β=125ββ
The problems on this page are the property of the MAA's American Mathematics Competitions