Question

The product of Tanvy’s age (in years) 5 years ago and her age is 8 years later is 30. Find her present age. 

 

Answer 1

Let the present age of Meena be x years.
According to the question: 

`(x-5) (x+8)=30` 

⇒`x^2+3x-40=30` 

⇒`x^2+3x-70=0` 

⇒`x^2+(10-7)x-70=0` 

⇒`x^2+10x-7x-70=0` 

⇒`x(x+10)-7(x+10)=0` 

⇒`(x+10)(x-7)=0` 

⇒`x+10=0  or  x-7=0` 

⇒`x=-10 or x=7` 

⇒`x=7`  

( ∴Age cannot be negative)
Thus, the present age of Meena is 7 years.