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Two numbers are in the ratio 3 ∶ 5. If each number is increased by 10, the ratio becomes 5 ∶ 7. The smaller number is∶
- a)8
- b)12
- c)15
- d)18
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
Two numbers are in the ratio 3 5. If each number is increased by 10, ...
Two numbers are in the ratio 3 ∶ 5,
Let the numbers be 3x and 5x,
Each number is increased by 10, and the ratio becomes 5 ∶ 7,
⇒ (3x + 10)/(5x + 10) = 5/7
⇒ x = 5
∴ Smallest number, 3x = 15
Most Upvoted Answer
Two numbers are in the ratio 3 5. If each number is increased by 10, ...
Given information:
- Two numbers are in the ratio 3:5
- If each number is increased by 10, the new ratio becomes 5:7
Let's assume:
- The smaller number in the original ratio is 3x.
- The larger number in the original ratio is 5x.
- After increasing each number by 10, the new smaller number is 3x + 10.
- After increasing each number by 10, the new larger number is 5x + 10.
Using the given information:
- The original ratio is 3x:5x.
- The new ratio is (3x + 10):(5x + 10).
- The new ratio is given as 5:7.
Setting up the equation:
- We can set up the equation as (3x + 10)/(5x + 10) = 5/7.
Solving the equation:
- Cross-multiplying, we get (3x + 10) * 7 = (5x + 10) * 5.
- Expanding both sides, we get 21x + 70 = 25x + 50.
- Simplifying the equation, we get 4x = 20.
- Dividing both sides by 4, we get x = 5.
Calculating the smaller number:
- The smaller number in the original ratio is 3x = 3 * 5 = 15.
Therefore, the smaller number is 15.
- Two numbers are in the ratio 3:5
- If each number is increased by 10, the new ratio becomes 5:7
Let's assume:
- The smaller number in the original ratio is 3x.
- The larger number in the original ratio is 5x.
- After increasing each number by 10, the new smaller number is 3x + 10.
- After increasing each number by 10, the new larger number is 5x + 10.
Using the given information:
- The original ratio is 3x:5x.
- The new ratio is (3x + 10):(5x + 10).
- The new ratio is given as 5:7.
Setting up the equation:
- We can set up the equation as (3x + 10)/(5x + 10) = 5/7.
Solving the equation:
- Cross-multiplying, we get (3x + 10) * 7 = (5x + 10) * 5.
- Expanding both sides, we get 21x + 70 = 25x + 50.
- Simplifying the equation, we get 4x = 20.
- Dividing both sides by 4, we get x = 5.
Calculating the smaller number:
- The smaller number in the original ratio is 3x = 3 * 5 = 15.
Therefore, the smaller number is 15.
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Two numbers are in the ratio 3 5. If each number is increased by 10, the ratio becomes 5 7. The smaller number isa)8b)12c)15d)18Correct answer is option 'C'. Can you explain this answer?
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Two numbers are in the ratio 3 5. If each number is increased by 10, the ratio becomes 5 7. The smaller number isa)8b)12c)15d)18Correct answer is option 'C'. Can you explain this answer? for Railways 2024 is part of Railways preparation. The Question and answers have been prepared according to the Railways exam syllabus. Information about Two numbers are in the ratio 3 5. If each number is increased by 10, the ratio becomes 5 7. The smaller number isa)8b)12c)15d)18Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Railways 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two numbers are in the ratio 3 5. If each number is increased by 10, the ratio becomes 5 7. The smaller number isa)8b)12c)15d)18Correct answer is option 'C'. Can you explain this answer?.
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