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Represent the following situations mathematically:

John and Jivanti together have \(45\) marbles. Both of them lost \(5\) marbles each, and the product of the number of marbles they now have is \(124\). We would like to findout how many marbles they had to start with.
 
Mathematical representation \(=\)
Answer variants:
\(x^2 – 45x + 324 = 0\)
\(x^2 – 45x - 324 = 0\)
\(x^2 + 45x + 324 = 0\)