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Two numbers are in the ratio of 4 : 7. If 6 is subtracted from the numerator and 3 from the denominator. Then the new ratio becomes 1 : 2. Find the sum of numerator and denominator.
  • a)
    63
  • b)
    97
  • c)
    69
  • d)
    99
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Two numbers are in the ratio of 4 : 7. If 6 is subtracted from the num...
Let the number be 4x and 7x respectively. 
A.T.Q. 

Hence the numbers will be 36 and 63. 
Required sum = 36+63=99.
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Most Upvoted Answer
Two numbers are in the ratio of 4 : 7. If 6 is subtracted from the num...
Solution:

Given:
- Let the two numbers be 4x and 7x.
- After subtracting 6 from the numerator and 3 from the denominator, the new ratio becomes 1:2.

Calculating the new ratio:
- New ratio: (4x - 6) : (7x - 3) = 1 : 2
- Cross multiplying, we get:
2(4x - 6) = 1(7x - 3)
- Simplifying the equation:
8x - 12 = 7x - 3
x = 9

Calculating the sum of the numerator and denominator:
- Sum of numerator and denominator: 4x + 7x = 11x
- Substituting the value of x:
11(9) = 99
Therefore, the sum of the numerator and denominator is 99. Option 'D' is the correct answer.
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Two numbers are in the ratio of 4 : 7. If 6 is subtracted from the numerator and 3 from the denominator. Then the new ratio becomes 1 : 2. Find the sum of numerator and denominator.a)63b)97c)69d)99Correct answer is option 'D'. Can you explain this answer?
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