Question

$12$ year old Manick is three times as old as his brother Rahul. How old will Manick be when he is twice as old as Rahul?

• A. $14$ years
• B. $16$ years
• C. $18$ years
• D. $20$ years

Answer 1

The correct option is B $16$ years

Manick's present age $=12$ years, Rahul's present age $=4$ years.
Let Manick be twice as old as Rahul after $x$ years from now.
Then, $12+x=2(4+x)\iff 12+x=8+2x\iff x=4$.
Hence, Manick's required age $=12+x=16$ years.