Problem:
What value of x satisfies
x−43​=125​−31​?
Answer Choices:
A. −32​
B. 367​
C. 127​
D. 32​
E. 65​
Solution:
Adding 43​ to both sides:
x​=125​−31​+43​=125​−124​+129​= (E) 65​​​
OR
Multiplying 12 on both sides gets us:
​12x−9=1⟹12x=10​
Therefore x=(E)65​​.
The problems on this page are the property of the MAA's American Mathematics Competitions