2022 AMC 10A Problems/Problem 3
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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
We have from which
Therefore, the first number is and the second number is Their absolute value of the difference is
~MRENTHUSIASM
See Also
2022 AMC 10A (Problems • Answer Key • Resources) | ||
Preceded by Problem 2 |
Followed by Problem 4 | |
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