Q1 of 242 Page 9

Ashu is x years old while his mother Mrs. Veena is x2 years old. Five years hence Mrs. Veena will be three times old as Ashu. Find their present ages.

Given, Ashu is x years old while his mother Mrs. Veena is x2 years old.


After 5 years, Mrs. Veena will be three times old as Ashu.


⇒ x2 + 5 = 3(x + 5)


⇒ x2 – 3x – 10 = 0


⇒ x2 – 5x + 2x – 10 = 0


⇒ x(x – 5) + 2(x – 5) = 0


⇒ (x + 2)(x – 5) = 0


⇒ x = 5 km/hr


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