Mr. and Mrs. Careless are calculating the products of two two-digit numbers,\(x\) and \(y\).

Mr. Careless misread the digit in ones place of \(x\), and he gets a result of \(1274\).

Mrs. Careless misread the digit in tens place of \(y\), and she gets a result of \(819\). Find the value of \(x+y\).

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