Question
If 16 times a number is subtracted from the square of
the number and then 64 is added to the result, then the result is zero. Find the L.C.M of the number and 20.Solution
Let the number be 'x' According to the question, x2 - 16x + 64 = 0 Or, x2 - 8x - 8x + 64 = 0 Or, x(x - 8) - 8(x - 8) = 0 Or, (x - 8)(x - 8) = 0 So, x = 8 L.C.M of 8 and 20 = 40
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