Question

The product of tanaya's age(in years) five years ago and his age ten years later is 16. determine tanay's present age

Answer 1

Solution is attached below

Answer 2

Answer:

Step-by-step explanation:

Question :-

The product of tanaya's age(in years) five years ago and his age ten years later is 16. determine tanay's present age.

Answer :-

Solution :-

Let the present age of tanay be x years.

According to the Question,

⇒ (x - 5) (x + 10) = 16

⇒ x² + 5x - 50 = 16

⇒ x² + 5x - 66 = 0

⇒ x² + 11x - 6x - 66 = 0

⇒ x(x + 11) - 6(x + 11) = 0

⇒ (x + 11) (x - 6) = 0

⇒ x = - 11, 6 (As x can't be negative)

⇒ x = 6

Age of tanay = x = 6 years.

Hence, the tanay's present age 6 years.