Rahul's age is three times the age of his daughter. After 8 years from now, his age will be 5 years more than twice the age of his daughter. Find the present age of Rahul.

36 years

30 years

33 years

39 years

APEDIA

NTPC Graduate Tier 1

2025 • 06 May, 2025 • Shift-1

Rahul's age is three times the age of his daughter. After 8 years from now, his age will be 5 years more than twice the age of his daughter. Find the present age of Rahul.

Correct Answer

39 years

Variable Setup: Let the present age of the daughter be 'D'. Therefore, Rahul's current age is '3D'.Future Condition Framing: After 8 years, their ages will be D......

💡 Analysis & Explanation

Variable Setup ▼

Let the present age of the daughter be 'D'. Therefore, Rahul's current age is '3D'.

Future Condition Framing ▼

After 8 years, their ages will be D+8 and 3D+8 respectively. The problem states that at this time, 3D+8 = 2(D+8) + 5.

Solving the Equation ▼

Expanding the right side gives 3D + 8 = 2D + 16 + 5. Simplifying this yields 3D - 2D = 21 - 8, which means D = 13.

Final Calculation ▼

Since the daughter is 13, Rahul's present age (3D) is 3 × 13 = 39.

Conclusion ▼

Rahul is presently 39 years old.

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Rahul's age is three times the age of his daughter. After 8 years from now, his age will be 5 years more than twice the age of his daughter. Find the present age of Rahul.