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 Two numbers are in the ratio of 5:6 and if 4 is added to the first number and 4 is subtracted from the second number then the ratio becomes 3:2. Find the difference between two numbers.
  • a)
    2.5
  • b)
    3.5
  • c)
    4.5
  • d)
    6.5
  • e)
    None of these
Correct answer is option 'A'. Can you explain this answer?
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Two numbers are in the ratio of 5:6 and if 4 is added to the first num...
Answer – a) 2.5 Explanation : (5x + 4)/ (6x -4) = 3/2
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Two numbers are in the ratio of 5:6 and if 4 is added to the first num...
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Two numbers are in the ratio of 5:6 and if 4 is added to the first num...
Ratio and Algebraic Equations:

Given ratio of two numbers is 5:6, which can be written as 5x:6x (where x is a constant).

Adding 4 to the first number and subtracting 4 from the second number, the ratio becomes 3:2.

This can be represented as:

(5x+4) : (6x-4) = 3:2

Cross-multiplying the equation, we get:

3(6x-4) = 2(5x+4)

Simplifying the equation, we get:

18x - 12 = 10x + 8

8x = 20

x = 2.5

Hence, the first number is 5x = 12.5 and the second number is 6x = 15.

Difference between two numbers:

The difference between two numbers is 15 - 12.5 = 2.5.

Therefore, the correct answer is option A) 2.5.
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Two numbers are in the ratio of 5:6 and if 4 is added to the first number and 4 is subtracted from the second number then the ratio becomes 3:2. Find the difference between two numbers.a)2.5b)3.5c)4.5d)6.5e)None of theseCorrect answer is option 'A'. Can you explain this answer?
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