Find the value!

Algebra Level 2

Let \(x\) and \(y\) be real numbers satisfying \(5x=5y\).

If we also assume that \(x\) and \(y\) belongs to the set of natural numbers \(\mathbb N\), then the least possible value of \(x+y\) is denoted by \(A\).

But if we assume that \(x\) and \(y\) belongs to the set of whole numbers, then the least possible value of \(x+y\) is denoted by \(B\).

Find \(A+B\).

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