2022 AMC 12A Problems/Problem 2
Problem
The sum of three numbers is . The first number is
times the third number, and the third number is
less than the second number. What is the absolute value of the difference between the first and second numbers?
Solution
Let be the third number. It follows that the first number is
and the second number is
. Using the given sum of the numbers, we obtain the equation
, which solves
.
The first number is , and the second number is
, and the difference between the two is
.
- phuang1024