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Ravi has spent a quarter (1/4) of his life as a boy. One-fifth (1/5) as a youth, one-third (1/3) as a man, and thirteen (13) years in old age. What is his present age?
- a)70 years
- b)80 years
- c)60 years
- d)65 years
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
Ravi has spent a quarter (1/4) of his life as a boy. One-fifth (1/5) ...
Let, present age = x
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According to question 
So, the present age is 60 years.
Most Upvoted Answer
Ravi has spent a quarter (1/4) of his life as a boy. One-fifth (1/5) ...
Understanding Ravi's Age Breakdown
To find Ravi's current age, we need to set up an equation based on the fractions of his life spent in different stages.
Define Ravi's Age
Let Ravi's present age be denoted as 'x' years.
Life Stages Breakdown
1. As a Boy: Ravi spent 1/4 of his life as a boy.
- Time spent = (1/4)x
2. As a Youth: He spent 1/5 of his life as a youth.
- Time spent = (1/5)x
3. As a Man: He spent 1/3 of his life as a man.
- Time spent = (1/3)x
4. In Old Age: Ravi has spent 13 years in old age.
- Time spent = 13 years
Setting Up the Equation
According to the problem, the sum of all these stages equals Ravi's current age:
(1/4)x + (1/5)x + (1/3)x + 13 = x
Finding a Common Denominator
The least common multiple of 4, 5, and 3 is 60. We can rewrite the fractions:
- (1/4)x = (15/60)x
- (1/5)x = (12/60)x
- (1/3)x = (20/60)x
Now, substituting these back into the equation:
(15/60)x + (12/60)x + (20/60)x + 13 = x
Simplifying the Equation
Combine the fractions:
(15 + 12 + 20)/60 * x + 13 = x
47/60 * x + 13 = x
Isolating 'x'
To solve for x, subtract (47/60)x from both sides:
13 = x - (47/60)x
13 = (13/60)x
Now, multiplying both sides by 60:
x = 13 * 60 = 780
Final Calculation
Now, divide by 13:
x = 780 / 13 = 60 years
Hence, Ravi's present age is 60 years, confirming that the correct answer is option 'C'.
To find Ravi's current age, we need to set up an equation based on the fractions of his life spent in different stages.
Define Ravi's Age
Let Ravi's present age be denoted as 'x' years.
Life Stages Breakdown
1. As a Boy: Ravi spent 1/4 of his life as a boy.
- Time spent = (1/4)x
2. As a Youth: He spent 1/5 of his life as a youth.
- Time spent = (1/5)x
3. As a Man: He spent 1/3 of his life as a man.
- Time spent = (1/3)x
4. In Old Age: Ravi has spent 13 years in old age.
- Time spent = 13 years
Setting Up the Equation
According to the problem, the sum of all these stages equals Ravi's current age:
(1/4)x + (1/5)x + (1/3)x + 13 = x
Finding a Common Denominator
The least common multiple of 4, 5, and 3 is 60. We can rewrite the fractions:
- (1/4)x = (15/60)x
- (1/5)x = (12/60)x
- (1/3)x = (20/60)x
Now, substituting these back into the equation:
(15/60)x + (12/60)x + (20/60)x + 13 = x
Simplifying the Equation
Combine the fractions:
(15 + 12 + 20)/60 * x + 13 = x
47/60 * x + 13 = x
Isolating 'x'
To solve for x, subtract (47/60)x from both sides:
13 = x - (47/60)x
13 = (13/60)x
Now, multiplying both sides by 60:
x = 13 * 60 = 780
Final Calculation
Now, divide by 13:
x = 780 / 13 = 60 years
Hence, Ravi's present age is 60 years, confirming that the correct answer is option 'C'.
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Ravi has spent a quarter (1/4) of his life as a boy. One-fifth (1/5) as a youth, one-third (1/3) as a man, and thirteen (13) years in old age. What is his present age?a)70 yearsb)80 yearsc)60 yearsd)65 yearsCorrect answer is option 'C'. Can you explain this answer?
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