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MATH / Two different positive numbers a and b each differ from their reciprocals by 1. What is a+b?

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problem

Two different positive numbers aa and bb each differ from their reciprocals by 11. What is a+ba+b?
Plain-text mathematical notation (without MathML)
Two different positive numbers a and b each differ from their reciprocals by 1. What is a+b?
Original LaTeX notation
Two different positive numbers $a$ and $b$ each differ from their reciprocals by $1$. What is $a+b$?

level

Level 3

type

Intermediate Algebra

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