2025 AMC 10A Problems/Problem 17
(Problem goes here)
Problem
Let 
be the unique positive integer such that dividing 
by leaves a remainder of 
and dividing 
by leaves a remainder of 
. What is the tens digit of ?
Solution 1
The problem statement implies 
and 
We want to find 
that satisfies both of these conditions. Hence, we can just find the greatest common divisor of the two numbers. 
so the answer is 
~Tacos_are_yummy_1
