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If the age of Rahul is 60% more than the age of Ajay and the sum of their ages is 91 years, what is the difference between their ages?
- a)15 years
- b)16 years
- c)18 years
- d)21 years
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
If the age of Rahul is 60% more than the age of Ajay and the sum of th...
Ages → Ajay : Rahul = 100 : (100 + 60) = 5 : 8
Hence, Option D is correct.
Hence, Option D is correct.
Most Upvoted Answer
If the age of Rahul is 60% more than the age of Ajay and the sum of th...
Understanding the Problem
To solve the problem of finding the difference between the ages of Rahul and Ajay, we first need to establish their ages based on the information provided.
Step 1: Define the Variables
- Let Ajay's age be represented as A.
- Since Rahul's age is 60% more than Ajay's, Rahul's age (R) can be expressed as:
R = A + 0.6A = 1.6A
Step 2: Set Up the Equation
According to the problem, the sum of their ages is 91 years:
- R + A = 91
Substituting Rahul's age into the equation gives us:
1.6A + A = 91
Step 3: Simplify and Solve
Combining the terms:
2.6A = 91
To find Ajay's age (A):
A = 91 / 2.6
A = 35
Now, we can find Rahul's age:
R = 1.6A = 1.6 * 35 = 56
Step 4: Calculate the Age Difference
Now that we have both ages:
- Ajay's age (A) = 35 years
- Rahul's age (R) = 56 years
To find the difference in their ages:
Difference = R - A = 56 - 35 = 21 years
Conclusion
The difference between Rahul's and Ajay's ages is 21 years, confirming that the correct answer is option 'D'.
To solve the problem of finding the difference between the ages of Rahul and Ajay, we first need to establish their ages based on the information provided.
Step 1: Define the Variables
- Let Ajay's age be represented as A.
- Since Rahul's age is 60% more than Ajay's, Rahul's age (R) can be expressed as:
R = A + 0.6A = 1.6A
Step 2: Set Up the Equation
According to the problem, the sum of their ages is 91 years:
- R + A = 91
Substituting Rahul's age into the equation gives us:
1.6A + A = 91
Step 3: Simplify and Solve
Combining the terms:
2.6A = 91
To find Ajay's age (A):
A = 91 / 2.6
A = 35
Now, we can find Rahul's age:
R = 1.6A = 1.6 * 35 = 56
Step 4: Calculate the Age Difference
Now that we have both ages:
- Ajay's age (A) = 35 years
- Rahul's age (R) = 56 years
To find the difference in their ages:
Difference = R - A = 56 - 35 = 21 years
Conclusion
The difference between Rahul's and Ajay's ages is 21 years, confirming that the correct answer is option 'D'.
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Question Description
If the age of Rahul is 60% more than the age of Ajay and the sum of their ages is 91 years, what is the difference between their ages?a)15 yearsb)16 yearsc)18 yearsd)21 yearsCorrect answer is option 'D'. Can you explain this answer? for SSC CGL 2025 is part of SSC CGL preparation. The Question and answers have been prepared according to the SSC CGL exam syllabus. Information about If the age of Rahul is 60% more than the age of Ajay and the sum of their ages is 91 years, what is the difference between their ages?a)15 yearsb)16 yearsc)18 yearsd)21 yearsCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for SSC CGL 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the age of Rahul is 60% more than the age of Ajay and the sum of their ages is 91 years, what is the difference between their ages?a)15 yearsb)16 yearsc)18 yearsd)21 yearsCorrect answer is option 'D'. Can you explain this answer?.
If the age of Rahul is 60% more than the age of Ajay and the sum of their ages is 91 years, what is the difference between their ages?a)15 yearsb)16 yearsc)18 yearsd)21 yearsCorrect answer is option 'D'. Can you explain this answer? for SSC CGL 2025 is part of SSC CGL preparation. The Question and answers have been prepared according to the SSC CGL exam syllabus. Information about If the age of Rahul is 60% more than the age of Ajay and the sum of their ages is 91 years, what is the difference between their ages?a)15 yearsb)16 yearsc)18 yearsd)21 yearsCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for SSC CGL 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the age of Rahul is 60% more than the age of Ajay and the sum of their ages is 91 years, what is the difference between their ages?a)15 yearsb)16 yearsc)18 yearsd)21 yearsCorrect answer is option 'D'. Can you explain this answer?.
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