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The ages of Raju and Rajan are in the ratio 5 : 8. If Raju was 5 years older and Rajan 4 years younger, the age of Raju would have been the same as the age of Rajan. What is the age of Raju?
- a)15 years
- b)16 years
- c)24 years
- d)13 years
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
The ages of Raju and Rajan are in the ratio 5 : 8. If Raju was 5 years...
Let Raju’s age = 5x.
∴ Rajan ‘s age = 8x
∴ 5x + 5 = 8x – 4
⇒ 3x = 9 ⇒ x = 3
Raju’s age = 5 × = 15 years
∴ Rajan ‘s age = 8x
∴ 5x + 5 = 8x – 4
⇒ 3x = 9 ⇒ x = 3
Raju’s age = 5 × = 15 years
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The ages of Raju and Rajan are in the ratio 5 : 8. If Raju was 5 years...
Let's assume the current ages of Raju and Rajan are 5x and 8x respectively.
According to the given condition, if Raju was 5 years older and Rajan 4 years younger, their ages would have been (5x + 5) and (8x - 4) respectively.
It is given that if Raju was 5 years older, his age would have been the same as Rajan's age. So we can set up the following equation:
5x + 5 = 8x - 4
Simplifying the equation, we get:
5 + 4 = 8x - 5x
9 = 3x
x = 3
Now that we know the value of x, we can find the age of Raju:
Age of Raju = 5x = 5 * 3 = 15 years
Therefore, the age of Raju is 15 years.
Hence, option A is the correct answer.
According to the given condition, if Raju was 5 years older and Rajan 4 years younger, their ages would have been (5x + 5) and (8x - 4) respectively.
It is given that if Raju was 5 years older, his age would have been the same as Rajan's age. So we can set up the following equation:
5x + 5 = 8x - 4
Simplifying the equation, we get:
5 + 4 = 8x - 5x
9 = 3x
x = 3
Now that we know the value of x, we can find the age of Raju:
Age of Raju = 5x = 5 * 3 = 15 years
Therefore, the age of Raju is 15 years.
Hence, option A is the correct answer.
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The ages of Raju and Rajan are in the ratio 5 : 8. If Raju was 5 years older and Rajan 4 years younger, the age of Raju would have been the same as the age of Rajan. What is the age of Raju?a)15 yearsb)16 yearsc)24 yearsd)13 yearsCorrect answer is option 'A'. Can you explain this answer? for Class 8 2026 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about The ages of Raju and Rajan are in the ratio 5 : 8. If Raju was 5 years older and Rajan 4 years younger, the age of Raju would have been the same as the age of Rajan. What is the age of Raju?a)15 yearsb)16 yearsc)24 yearsd)13 yearsCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 8 2026 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The ages of Raju and Rajan are in the ratio 5 : 8. If Raju was 5 years older and Rajan 4 years younger, the age of Raju would have been the same as the age of Rajan. What is the age of Raju?a)15 yearsb)16 yearsc)24 yearsd)13 yearsCorrect answer is option 'A'. Can you explain this answer?.
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