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Let the two numbers be ( x ) and ( y ). We can set up the equations: ( x + y = 19 ) and ( x - y = 9 ). By solving these equations, we can add them to eliminate ( y ): ( (x + y) + (x - y) = 19 + 9 ) gives ( 2x = 28 ), resulting in ( x = 14 ). Substituting ( x ) back into the first equation, ( 14 + y = 19 ), we find ( y = 5 ). Thus, the two numbers are 14 and 5.

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