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Let the two numbers be ( x ) and ( y ). We know that ( x + y = 30 ) and ( x - y = 6 ). By solving these equations, we can add them to eliminate ( y ): ( 2x = 36 ), giving ( x = 18 ). Substituting ( x ) back into the first equation, ( 18 + y = 30 ), we find ( y = 12 ). Thus, the two numbers are 18 and 12.
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