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The ratio between two numbers is 3 : 4. If each number is increased by 3, the ratio becomes 4 : 5. Find the difference between the numbers.
  • a)
    3                             
  • b)
    9
  • c)
    2                              
  • d)
    7
  • e)
    None of these
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
The ratio between two numbers is 3 : 4. If each number is increased by...
Given: Ratio between two numbers = 3 : 4
Let the two numbers be 3x and 4x.

When each number is increased by 3, the new ratio becomes 4 : 5.
Therefore, (3x + 3) : (4x + 3) = 4 : 5

Cross-multiplying, we get:
5(3x + 3) = 4(4x + 3)
15x + 15 = 16x + 12
x = 3

Hence, the two numbers are 9 and 12.

The difference between the two numbers is:
12 - 9 = 3

Therefore, the correct option is (a) 3.
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The ratio between two numbers is 3 : 4. If each number is increased by...
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