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The number whose sum is 27 and product is 182. Find the number |
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Answer» Let the numbers be x n yAccording to the question, X+ Y = 27X= 27-Y.........(1)Again XY = 182 Putiing the value of equation (1) Y ( 27- Y) = 18227Y - Y ^2= 182 - Y^2 + 27Y - 182 = 0- ( Y^2 - 27Y + 182 ) = 0Solving this we will get X= 13 n Y = 14 Let the number be x and y. :. x + y = 27 x = 27 - y Putting the value of x in another equation. xy = 27 (27 - y) y = 182 27y - y × y = 182 y × y - 27 y + 182 = 0 y × y - 13y - 14y + 182 = 0 y( y - 13) - 14(y - 13) = 0 (y - 14) (y - 13) = 0 :: y - 14 = 0. y - 13 = 0 y = 14. y = 13 :. The two numbers are 14 and 13. 13,14 13 and 14 |
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