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MMLU-Pro / 8824 / If the ratio of 2x−y to x+y is 2 to 3, what is the ratio of x to y?…

Problem

Answer published by the source. Consult the official source to check your work against its answer.

question

If the ratio of 2x−y2x-y to x+yx+y is 2 to 3, what is the ratio of xx to yy? Express your answer as a common fraction.
Plain-text mathematical notation (without MathML)
If the ratio of 2x−y to x+y is 2 to 3, what is the ratio of x to y? Express your answer as a common fraction.
Original LaTeX notation
If the ratio of $2x-y$ to $x+y$ is 2 to 3, what is the ratio of $x$ to $y$? Express your answer as a common fraction.

category

math

options

  1. \frac{3}{2}
  2. \frac{5}{2}
  3. \frac{1}{2}
  4. \frac{5}{4}
  5. \frac{3}{4}
  6. \frac{4}{3}
  7. \frac{2}{3}
  8. \frac{2}{1}
  9. \frac{4}{5}
  10. \frac{2}{5}

src

ori_mmlu-high_school_mathematics

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Source and history

upstream_id / Original problem ID
8824
task_id
c33372a4-2228-5b8e-9cb5-de7b8ed9b4ef
task_key
default--test--8824
task_revision_id
1
config / split
default / test

Official source

initial import