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

1.	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.
Answer» Given, Ashu is x years old while his mother Mrs. Veena is x²years 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

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.

Answer»

Given, Ashu is x years old while his mother Mrs. Veena is x²years 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