2024 AMC 8 Problems/Problem 15
Problem
Let the letters ,
,
,
,
,
represent distinct digits. Suppose
is the greatest number that satisfies the equation
What is the value of ?
Solution
Notice .
Likewise, .
Therefore, we have the following equation:
.
Simplifying the equation gives
.
We can now use our equation to test each answer choice.
We have that , so we can find the sum:
.
So, the correct answer is .