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find two numbers whose sum is 27 and product is 187

Answer» Let the two numbers be x, 27 - x.According to the questionx (27 - x) =182{tex}\\implies{/tex}27x - x2\xa0-182 = 0{tex}\\implies{/tex}x2 - 27x + 182 = 0{tex}\\implies{/tex}\xa0x2 - 13x -14x + 182 = 0{tex}\\implies{/tex}x (x-13) - 14 (x-13) = 0{tex}\\implies{/tex}(x-13) (x-14) = 0Either x-13 = 0 or x - 14 = 0{tex}\\implies{/tex}x = 13, 14Hence, the required numbers are 13, 14


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