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कै हर A natusal number, when increased by 12, becomes equal o 160 times s reciprocal. Find the nuse |
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Answer» Let the natural number = c If the number increased by 12 = x + 12 Reciprocal of the number = 1/x According to the problem given, x + 12 = 160 times of reciprocal of x x + 12 = 160/ xx( x + 12 ) = 160x^2 + 12x - 160 = 0x^2 + 20x - 8x - 160 = 0x( x + 20) - 8( x + 20)= 0( x + 20 ) ( x - 8 ) = 0x + 20 = 0 or x - 8 = 0x = - 20 or x = 8But x is a natural number. Therefore,Required number = x = 8 |
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