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