A 2-digit number

If we divide a 2-digit positive integer by the sum of its digits, we get the quotient and remainder of 4 and 3, respectively.

If we divide the same 2-digit positive by the product of its digits, we get quotient and remainder of 3 and 5, respectively.

If this 2-digit integer can be written as \(\overline{AB}\), find \(A+B\).

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