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MMLU / Positive integers x and y have a product of 56 and x<y. Seven times the…

Problem

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question

Positive integers xx and yy have a product of 56 and x<yx < y. Seven times the reciprocal of the smaller integer plus 14 times the reciprocal of the larger integer equals 4. What is the value of xx?
Plain-text mathematical notation (without MathML)
Positive integers x and y have a product of 56 and x<y. Seven times the reciprocal of the smaller integer plus 14 times the reciprocal of the larger integer equals 4. What is the value of x?
Original LaTeX notation
Positive integers $x$ and $y$ have a product of 56 and $x < y$. Seven times the reciprocal of the smaller integer plus 14 times the reciprocal of the larger integer equals 4. What is the value of $x$?

choices

  1. 13
  2. 14
  3. 1
  4. 2

subject

high_school_mathematics

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