Question
If 36 times a number is subtracted from the square of the number and then 324 is added to the result, then the result is zero. Find the
L.C.M of the number and 30.
Solution
Let the number be 'x' According to the question, x2 - 36x + 324 = 0 Or, x2 - 18x - 18x + 324 = 0 Or, x(x - 18) - 18(x - 18) = 0 Or, (x - 18)(x - 18) = 0 So, x = 18 L.C.M of 18 and 30 = 90
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