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Two Number are in the ratio 3:5 .if 9 is subtracted From each,the new number are in the ratio 12.33 the smaller number is
option a.21 b.33. c.49. d.55?
option a.21 b.33. c.49. d.55?
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Two Number are in the ratio 3:5 .if 9 is subtracted From each,the new ...
Understanding the Problem
To solve this problem, we need to identify two numbers that are in the ratio of 3:5 and then examine the effect of subtracting 9 from each number.
Setting Up the Variables
- Let the two numbers be 3x and 5x.
- The ratio of these two numbers is maintained as 3:5.
Applying the Given Condition
- When 9 is subtracted from each number, the new numbers become:
- Smaller number: 3x - 9
- Larger number: 5x - 9
- According to the problem, these new numbers are in the ratio of 12:33, which can be simplified to 4:11.
Setting Up the Equation
- From the ratio, we can set up the equation:
(3x - 9) / (5x - 9) = 4 / 11
- Cross-multiplying gives:
11(3x - 9) = 4(5x - 9)
Simplifying the Equation
- Expanding both sides, we have:
33x - 99 = 20x - 36
- Rearranging the terms, we find:
33x - 20x = 99 - 36
- This simplifies to:
13x = 63
- Solving for x gives:
x = 63 / 13
Finding the Numbers
- Now, substituting x back to find the smaller number:
Smaller number: 3x = 3 * (63/13) = 189/13 = 14.54 (approx)
- Since we need integer values, we find the nearest integer values for the original numbers:
- 3x = 21
- 5x = 35
Conclusion
Thus, the smaller number is 21, which corresponds to option a.
To solve this problem, we need to identify two numbers that are in the ratio of 3:5 and then examine the effect of subtracting 9 from each number.
Setting Up the Variables
- Let the two numbers be 3x and 5x.
- The ratio of these two numbers is maintained as 3:5.
Applying the Given Condition
- When 9 is subtracted from each number, the new numbers become:
- Smaller number: 3x - 9
- Larger number: 5x - 9
- According to the problem, these new numbers are in the ratio of 12:33, which can be simplified to 4:11.
Setting Up the Equation
- From the ratio, we can set up the equation:
(3x - 9) / (5x - 9) = 4 / 11
- Cross-multiplying gives:
11(3x - 9) = 4(5x - 9)
Simplifying the Equation
- Expanding both sides, we have:
33x - 99 = 20x - 36
- Rearranging the terms, we find:
33x - 20x = 99 - 36
- This simplifies to:
13x = 63
- Solving for x gives:
x = 63 / 13
Finding the Numbers
- Now, substituting x back to find the smaller number:
Smaller number: 3x = 3 * (63/13) = 189/13 = 14.54 (approx)
- Since we need integer values, we find the nearest integer values for the original numbers:
- 3x = 21
- 5x = 35
Conclusion
Thus, the smaller number is 21, which corresponds to option a.
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Two Number are in the ratio 3:5 .if 9 is subtracted From each,the new number are in the ratio 12.33 the smaller number is option a.21 b.33. c.49. d.55?
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Two Number are in the ratio 3:5 .if 9 is subtracted From each,the new number are in the ratio 12.33 the smaller number is option a.21 b.33. c.49. d.55? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about Two Number are in the ratio 3:5 .if 9 is subtracted From each,the new number are in the ratio 12.33 the smaller number is option a.21 b.33. c.49. d.55? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two Number are in the ratio 3:5 .if 9 is subtracted From each,the new number are in the ratio 12.33 the smaller number is option a.21 b.33. c.49. d.55?.
Two Number are in the ratio 3:5 .if 9 is subtracted From each,the new number are in the ratio 12.33 the smaller number is option a.21 b.33. c.49. d.55? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about Two Number are in the ratio 3:5 .if 9 is subtracted From each,the new number are in the ratio 12.33 the smaller number is option a.21 b.33. c.49. d.55? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two Number are in the ratio 3:5 .if 9 is subtracted From each,the new number are in the ratio 12.33 the smaller number is option a.21 b.33. c.49. d.55?.
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