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 ______.

विकल्प

• $$x^2 - 20x - 341 = 0$$

• $$x^2 + 20x - 341 = 0$$

• $$x^2 + 20x + 341 = 0$$

• $$x^2 - 20x + 341 = 0$$

Answer 1

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.