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Omni-MATH / Points A,B,C, and D are on a line in that order. The distance from A to D is 24. The distance from B to D is 3 times the distance from A to B. Point C is halfway between B and D. W…

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problem

Points A,B,CA, B, C, and DD are on a line in that order. The distance from AA to DD is 24. The distance from BB to DD is 3 times the distance from AA to BB. Point CC is halfway between BB and DD. What is the distance from AA to CC?
Plain-text mathematical notation (without MathML)
Points A,B,C, and D are on a line in that order. The distance from A to D is 24. The distance from B to D is 3 times the distance from A to B. Point C is halfway between B and D. What is the distance from A to C?
Original LaTeX notation
Points $A, B, C$, and $D$ are on a line in that order. The distance from $A$ to $D$ is 24. The distance from $B$ to $D$ is 3 times the distance from $A$ to $B$. Point $C$ is halfway between $B$ and $D$. What is the distance from $A$ to $C$?

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Source and history

task_id
38f0a959-9622-55d5-8ca3-d1ae9112683e
task_key
test--38f0a959-9622-55d5-8ca3-d1ae9112683e
task_revision_id
1
config / split
/ test

Official source

initial import