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The ages of Simran and Ranjna are in the ratio 5:3. After 6 years their ages will be in the ratio 7:5. What is present age of Ranjna?
- a)9 years
- b)12 years
- c)14 years
- d)15 years
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
The ages of Simran and Ranjna are in the ratio 5:3. After 6 years thei...
Let Simran’s age = 5x
Ranjna’s age = 3x
After 6 years, Simran’s age = 5x + 6
Ranjna’s age = 3x + 6
⇒ 25x = 30 = 21x + 42
⇒ 25x –21x = 42 –30
⇒ 4x = 12
∴ Present age of Ranjana = 3x
= 3 × 3 = 9 years
Ranjna’s age = 3x
After 6 years, Simran’s age = 5x + 6
Ranjna’s age = 3x + 6
⇒ 25x = 30 = 21x + 42
⇒ 25x –21x = 42 –30
⇒ 4x = 12
∴ Present age of Ranjana = 3x
= 3 × 3 = 9 years
Most Upvoted Answer
The ages of Simran and Ranjna are in the ratio 5:3. After 6 years thei...
Let's assume the present ages of Simran and Ranjna are 5x and 3x respectively, as their ages are in the ratio 5:3.
After 6 years, Simran's age will be 5x+6 and Ranjna's age will be 3x+6.
According to the given information, their ages after 6 years will be in the ratio 7:5. So we can write the equation:
(5x+6)/(3x+6) = 7/5
To solve this equation, we can cross multiply:
5(5x+6) = 7(3x+6)
25x + 30 = 21x + 42
Now, we can simplify the equation:
25x - 21x = 42 - 30
4x = 12
x = 12/4
x = 3
Therefore, Ranjna's present age is 3x = 3*3 = 9 years.
Hence, the correct answer is option A) 9 years.
After 6 years, Simran's age will be 5x+6 and Ranjna's age will be 3x+6.
According to the given information, their ages after 6 years will be in the ratio 7:5. So we can write the equation:
(5x+6)/(3x+6) = 7/5
To solve this equation, we can cross multiply:
5(5x+6) = 7(3x+6)
25x + 30 = 21x + 42
Now, we can simplify the equation:
25x - 21x = 42 - 30
4x = 12
x = 12/4
x = 3
Therefore, Ranjna's present age is 3x = 3*3 = 9 years.
Hence, the correct answer is option A) 9 years.
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The ages of Simran and Ranjna are in the ratio 5:3. After 6 years their ages will be in the ratio 7:5. What is present age of Ranjna?a)9 yearsb)12 yearsc)14 yearsd)15 yearsCorrect answer is option 'A'. Can you explain this answer?
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The ages of Simran and Ranjna are in the ratio 5:3. After 6 years their ages will be in the ratio 7:5. What is present age of Ranjna?a)9 yearsb)12 yearsc)14 yearsd)15 yearsCorrect answer is option 'A'. Can you explain this answer? for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about The ages of Simran and Ranjna are in the ratio 5:3. After 6 years their ages will be in the ratio 7:5. What is present age of Ranjna?a)9 yearsb)12 yearsc)14 yearsd)15 yearsCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The ages of Simran and Ranjna are in the ratio 5:3. After 6 years their ages will be in the ratio 7:5. What is present age of Ranjna?a)9 yearsb)12 yearsc)14 yearsd)15 yearsCorrect answer is option 'A'. Can you explain this answer?.
The ages of Simran and Ranjna are in the ratio 5:3. After 6 years their ages will be in the ratio 7:5. What is present age of Ranjna?a)9 yearsb)12 yearsc)14 yearsd)15 yearsCorrect answer is option 'A'. Can you explain this answer? for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about The ages of Simran and Ranjna are in the ratio 5:3. After 6 years their ages will be in the ratio 7:5. What is present age of Ranjna?a)9 yearsb)12 yearsc)14 yearsd)15 yearsCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The ages of Simran and Ranjna are in the ratio 5:3. After 6 years their ages will be in the ratio 7:5. What is present age of Ranjna?a)9 yearsb)12 yearsc)14 yearsd)15 yearsCorrect answer is option 'A'. Can you explain this answer?.
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