System of Equations
Algebra
Level
5
If \(a, b, c\) and \(d\) are 4 positive integers satisfying \[\begin{align} ab+cd & = 2371\\ ac+bd &= 2670 \\ ad+bc &= 2346 \\ \end{align} \]
What is the maximum possible value of \( a \)?
by
Calvin Lin