Question
A number 'x' is first multiplied by 11, and the result is
subtracted from its square. After adding 24 to the resulting value, the final outcome is zero. Given that 'x' lies between 1 and 8 (1 < x < 8), determine the value of 'x'.Solution
Let us assume the required number is 'x'
ATQ; x 2 - 11x + 24 = 0
Or, x 2 - 3x - 8x + 24 = 0
Or, x(x - 3) - 8(x - 3) = 0
Or, (x - 8)(x - 3)
Or, x = 8 or 3
So, x = 3
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