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The sum of two numbers is 16 and the sum of their reciprocals is 16/63 find the numbers |
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Answer» 7 and 9Step-by-step explanation:Numbers=x, yx+y=161/x+1/y=16/63(x+y)/XY =16/63we know x+y=16ie, 16/xy=16/63XY=63x=63/yie.x+y=63/y+y=( 63+y²)/y=16=63+y²-16yY² - 9Y - 7y + 63 =0 [spliting method ]y(y-9) -7(y-9 ) =0(y-9)(y-7) = 0y-9 = 0y = 9ie x=63/9=8and next VALUE of y isy - 7 =0y = 7ie x=63/7=9numbers= 7 and 9 |
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