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Two numbers are in the ratio of 3 : 5. If 6 is subtracted from each, the new numbers are in the ratio 9 : 17. The smaller number is 
  • a)
    20 
  • b)
    40 
  • c)
    24 
  • d)
    12
Correct answer is option 'C'. Can you explain this answer?
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Most Upvoted Answer
Two numbers are in the ratio of 3 : 5. If 6 is subtracted from each, t...
Given:
m : n = 3 : 5
(m - 6) : (n - 6) = 9 : 17
Calculation:
⇒ 5m = 3n
⇒ 5m - 3n = 0 →(1)
⇒ 17(m - 6) = 9(n - 6)
⇒ 17m - 102 = 9n - 54
⇒ 17m - 9n = 48 
→(2)
Subtracting the [equation (1) multiplied by 3] from equation (2),
⇒ 17m - 9n - 15m + 9n = 48 - 0
⇒ 2m = 48
⇒ m = 24
From Eqn (2), we have
⇒ n = (5 × 24)/3 = 40
∴ The smaller number is 24.
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Community Answer
Two numbers are in the ratio of 3 : 5. If 6 is subtracted from each, t...
Given Data:
- The numbers are in the ratio 3 : 5
- When 6 is subtracted from each number, the new ratio becomes 9 : 17

Solution:

Step 1: Let the two numbers be 3x and 5x
- Let the first number be 3x and the second number be 5x, as they are in the ratio of 3 : 5.

Step 2: Subtract 6 from each number
- When 6 is subtracted from each number, we get (3x - 6) and (5x - 6).

Step 3: Form the new ratio
- The new ratio after subtracting 6 from each number is 9 : 17.
- So, we have (3x - 6) : (5x - 6) = 9 : 17.

Step 4: Solve the equation
- Cross multiply to get: 17(3x - 6) = 9(5x - 6)
- 51x - 102 = 45x - 54
- 6x = 48
- x = 8

Step 5: Find the smaller number
- The smaller number is 3x.
- So, smaller number = 3(8) = 24

Conclusion:
- Therefore, the smaller number is 24, which corresponds to option 'c'.
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Two numbers are in the ratio of 3 : 5. If 6 is subtracted from each, the new numbers are in the ratio 9 : 17. The smaller number is a)20 b)40 c)24 d)12Correct answer is option 'C'. Can you explain this answer?
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Two numbers are in the ratio of 3 : 5. If 6 is subtracted from each, the new numbers are in the ratio 9 : 17. The smaller number is a)20 b)40 c)24 d)12Correct answer is option 'C'. Can you explain this answer? for Software Development 2024 is part of Software Development preparation. The Question and answers have been prepared according to the Software Development exam syllabus. Information about Two numbers are in the ratio of 3 : 5. If 6 is subtracted from each, the new numbers are in the ratio 9 : 17. The smaller number is a)20 b)40 c)24 d)12Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Software Development 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two numbers are in the ratio of 3 : 5. If 6 is subtracted from each, the new numbers are in the ratio 9 : 17. The smaller number is a)20 b)40 c)24 d)12Correct answer is option 'C'. Can you explain this answer?.
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