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Two numbers are in the ratio 3:4; if 6 be added to each terms of the ratio, then the new ratio will be 4:5, then the numbers are 
  • a)
    14, 20 
  • b)
    17, 19
  • c)
    18 and 24
  • d)
    none of these
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
Two numbers are in the ratio 3:4; if 6 be added to each terms of the r...
Ratio and Proportion is an important topic in Mathematics. In this problem, we are given a ratio and we are required to find the numbers that satisfy the ratio.

Given, the ratio of two numbers is 3:4. Let the two numbers be 3x and 4x.

When 6 is added to each term of the ratio, the new ratio becomes 4:5.

So, the new ratio is (3x+6):(4x+6) = 4:5

Cross-multiplying, we get

5(3x+6) = 4(4x+6)

Simplifying, we get

15x + 30 = 16x + 24

x = 6

So, the two numbers are 3x and 4x which are 18 and 24 respectively.

Hence, the answer is option C, i.e., 18 and 24.

Summary:
Given ratio: 3:4
Let the two numbers be 3x and 4x
New ratio: (3x+6):(4x+6) = 4:5
Solving the equations, we get x = 6
Therefore, the two numbers are 3x and 4x which are 18 and 24 respectively.
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Two numbers are in the ratio 3:4; if 6 be added to each terms of the r...
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Two numbers are in the ratio 3:4; if 6 be added to each terms of the ratio, then the new ratio will be 4:5, then the numbers area)14, 20b)17, 19c)18 and 24d)none of theseCorrect answer is option 'C'. Can you explain this answer?
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