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Omni-MATH / Each of the variables a,b,c,d, and e represents a positive integer with the properties that b+d>a+d, c+e>b+e, b+d=c, a+c=b+e. Which of the variables has the greatest value?

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problem

Each of the variables a,b,c,da, b, c, d, and ee represents a positive integer with the properties that b+d>a+db+d>a+d, c+e>b+ec+e>b+e, b+d=cb+d=c, a+c=b+ea+c=b+e. Which of the variables has the greatest value?
Plain-text mathematical notation (without MathML)
Each of the variables a,b,c,d, and e represents a positive integer with the properties that b+d>a+d, c+e>b+e, b+d=c, a+c=b+e. Which of the variables has the greatest value?
Original LaTeX notation
Each of the variables $a, b, c, d$, and $e$ represents a positive integer with the properties that $b+d>a+d$, $c+e>b+e$, $b+d=c$, $a+c=b+e$. Which of the variables has the greatest value?

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