AMC 10 Step by Step
2022 AMC 10AProblem 3P1-10~2 minPrint

The sum of three numbers is 96.96. The first number is 66 times the third number, and the third number is 4040 less than the second number. What is the absolute value of the difference between the first and second numbers?

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Problem © Mathematical Association of America (MAA), American Mathematics Competitions. Reproduced for non-commercial educational use. Solution and commentary are original to this site.