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Let, the present age of the man be x.
Now, age after 9 years = x+9
And age 33 years ago = x-33
Now, we have,
(x - 33)^2 = x+9
Or, x^2 - 66x + 1089 = x + 9
Or, x^2 - 67x + 1080 = 0
Or, x^2 - 40x - 27x + 1080 = 0
Or, x(x - 40) - 27 (x - 40) = 0
Or, ( x - 40) ( x - 27) = 0.
Or, x = 40,27
Here, as per the question, 27 is not acceptable as if the age is taken 33 years ago, then it becomes negative.
Thus, x = 40.
Hence, present age of the man is 40 years.
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arnab2261:
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