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The ratio between two numbers is 3 : 5. If each number is increased by 4, the ratio becomes 2 : 3 the number are
  • a)
    9 and 15
  • b)
    6 and 10
  • c)
    12 and 20
  • d)
    None of the above
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
The ratio between two numbers is 3 : 5. If each number is increased by...
Let the numbers be 3x and 5x.

So, the numbers are 12 and 20.
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The ratio between two numbers is 3 : 5. If each number is increased by...
Understanding the Problem
The given problem states that the ratio between two numbers is 3 : 5. When each number is increased by 4, the new ratio becomes 2 : 3. We need to find the original numbers based on this information.

Setting up Equations
Let the original numbers be 3x and 5x, where x is a common factor.
According to the problem, when each number is increased by 4, the new numbers become 3x + 4 and 5x + 4.
Based on the new ratio, we can set up the equation:
(3x + 4) / (5x + 4) = 2 / 3

Solving the Equations
Cross multiplying, we get:
3(3x + 4) = 2(5x + 4)
9x + 12 = 10x + 8
12 - 8 = 10x - 9x
4 = x
Therefore, the original numbers are:
3x = 3(4) = 12
5x = 5(4) = 20
So, the original numbers are 12 and 20.

Conclusion
Hence, the correct answer is option C: 12 and 20.
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The ratio between two numbers is 3 : 5. If each number is increased by 4, the ratio becomes 2 : 3 the number area)9 and 15b)6 and 10c)12 and 20d)None of the aboveCorrect answer is option 'C'. Can you explain this answer?
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