Question

product of pragatis age 2 years ago and 3 years hence is 84. find her age

Answer 1

Answer:

Let Pragati’s age be “x” years

Therefore,

Pragati’s age 2 years ago = (x - 2) years

Pragati’s age 3 years hence = (x + 3) years

According to the question,

(Age 2 years ago) * (Age 3 years hence) = 84

⇒ (x - 2) * (x + 3) = 84

⇒ x² + 3x – 2x - 6 = 84

⇒ x² + x – 90 = 0

⇒ x² + 10x – 9x – 90 = 0

⇒ x(x + 10) – 9(x + 10) = 0

⇒ (x + 10)(x – 9) = 0  

∵ age cannot be negative  

Or, x = 9 years

Thus, Pragati’s age is 9 years.