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Question
Neha's father is 28 years older than her. The product of their ages (in years) 4 years ago was 245. If present age of Neha is x years, then the algebraic representation of this information in the form of quadratic equation is ______.
Options
$$x^2 - 20x - 341 = 0$$
$$x^2 + 20x - 341 = 0$$
$$x^2 + 20x + 341 = 0$$
$$x^2 - 20x + 341 = 0$$
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Solution
Neha's father is 28 years older than her. The product of their ages (in years) 4 years ago was 245. If present age of Neha is x years, then the algebraic representation of this information in the form of quadratic equation is x2 – 20x – 341 = 0.
Explanation:
Four years ago, their ages were x – 4 and x + 24, so (x – 4)(x + 24) = 245. Expanding and rearranging gives the stated equation; the other choices have incorrect signs.
