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AMC (AIMO validation set) / https://artofproblemsolving.com/wiki/index.php/2022_AMC_12A_Problems/Problem_2 / The sum of three numbers is 96. The first number is 6 times the third number, and the third number is 40 less than the second number. What is the absolute value of the difference b…

Problem

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problem

The sum of three numbers is

96.

The first number is

6

times the third number, and the third number is

40

less than the second number. What is the absolute value of the difference between the first and second numbers?

Plain-text mathematical notation (without MathML)

The sum of three numbers is 96. The first number is 6 times the third number, and the third number is 40 less than the second number. What is the absolute value of the difference between the first and second numbers?

Original LaTeX notation

The sum of three numbers is $96.$ The first number is $6$ times the third number, and the third number is $40$ less than the second number. What is the absolute value of the difference between the first and second numbers?

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Source and history

upstream_id / Original problem ID: https://artofproblemsolving.com/wiki/index.php/2022_AMC_12A_Problems/Problem_2
task_id: 38c81e42-ea96-52bb-8a3a-7b71ff6c5561
task_key: default--train--https~3a~2f~2fartofproblemsolving~2ecom~2fwiki~2findex~2ephp~2f2022~5fAMC~5f12A~5fProblems~2fProblem~5f2
task_revision_id: 2
config / split: default / train

Official source

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