Mr. Rajan got a job at the age of 24 and retired at 60. What fraction of his age at retirement had he been in the job?
\(\dfrac{3}{5}\)
Step 1: Find how many years he worked.
He retired at 60 and started at 24.
(60 - 24 = 36)
So, he worked for (36) years.
Step 2: Write the required fraction.
The question asks: “What fraction of his age at retirement had he been in the job?”
This means:
(displaystyle ext{Fraction}= rac{ ext{years worked}}{ ext{age at retirement}})
(displaystyle = rac{36}{60})
Step 3: Simplify the fraction.
Both (36) and (60) are divisible by (12).
(displaystyle rac{36 div 12}{60 div 12}= rac{3}{5})
Final Answer: (displaystyle rac{3}{5}).
He was in the job for three-fifths of his age at retirement.