Question : Directions: Hari is twice as old as Johnny, who is three years older than Rahul. If Hari's age is five times Rahul's age, how old is Johnny?
Option 1: 2 years
Option 2: 4 years
Option 3: 5 years
Option 4: 8 years
Correct Answer: 5 years
Solution : Let the ages of Hari, Johnny, and Rahul be H, J, and R respectively.
Hari is twice as old as Johnny ⇒ H = 2 × J (1st equation)
Johnny is three years older than Rahul ⇒ R + 3 = J
⇒ R = J – 3 (2nd equation)
Hari's age is five times Rahul's age ⇒ H = 5 × R (3rd equation)
Putting the value of R from the second equation in the above equation, the equation becomes –
⇒ H = 5 × (J – 3)
But, H = 2 × J (1st equation)
So, 5 × (J – 3) = 2 × J
⇒ 5 × J – 15 = 2 × J
⇒ 3 × J = 15
⇒ J = 5
So, the age of Johnny is 5 years. Hence, the third option is correct.
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