Ravi’s life stages: he spent 1/4 of his life as a boy, 1/5 as a youth, 1/3 as a man, and 13 years in old age. What is his present age?

Introduction: The life-stage breakdown forms a fractional equation in the total age. The fixed 13-year old-age segment plus fractional parts of the same total must equal the entire lifespan.

Given Data / Assumptions:

• Total age = x years.
• As a boy: x/4; as a youth: x/5; as a man: x/3; old age: 13 years.
• Sum equals x.

Concept / Approach: Add the fractions and 13, set equal to x, then solve for x using a common denominator to combine fractions exactly.

Step-by-Step Solution:

Verification / Alternative check: Check segments: 15, 12, and 20 years sum to 47 years; plus 13 equals 60, consistent.

Why Other Options Are Wrong: 70, 80, 36, 66 do not satisfy the fractional partition equation.

Common Pitfalls: Arithmetic errors with fraction addition; ensure exact common denominator.

Final Answer: 60 years