At present, Ritika’s age is 3 times the age of Vipul. After 7 years, Ritika will be 2 times as old as Vipul. What is the present age of Ritika (in years)?
- A42
- B35
- C53
- D21
Solution & Step-by-step Explanation
Let the present age of Vipul be x years.
According to the question, the present age of Ritika is 3x years.
After 7 years:
Vipul's age will be (x+7) years.
Ritika's age will be (3x+7) years.
Given that after 7 years, Ritika will be 2 times as old as Vipul:
3x+7=2(x+7)
Solving the equation:
3x+7=2x+14
3x−2x=14−7
x=7
Therefore, the present age of Ritika is:
3x=3×7=21 years
According to the question, the present age of Ritika is 3x years.
After 7 years:
Vipul's age will be (x+7) years.
Ritika's age will be (3x+7) years.
Given that after 7 years, Ritika will be 2 times as old as Vipul:
3x+7=2(x+7)
Solving the equation:
3x+7=2x+14
3x−2x=14−7
x=7
Therefore, the present age of Ritika is:
3x=3×7=21 years