Question

Mohit's mother is 47 years older than him. The product of their ages (in years) 8 years from now will be 860. Which of the following equations represent this situation?

• A. $(x+8)(x-55)=860$
  
  
• B. $(x-8)(x+55)=860$
  
  
• C. $(x+8)(x+55)=860$
  
  
• D. $(x+8)(x+55+55)=860$
  
  

Answer 1

The correct option is C

$(x+8)(x+55)=860$

Let's take Mohit's age = $xyears$

Hence, his mother's age = $x+47$

$8$ years from now;

Mohit's age = $x+8$

Age of Mohit's mother will be = $x+47+8=x+55$

The product of their ages $8$ years from now will be $860$.

$(x+8)(x+55)=860$