The ratio of two numbers is 4 5 If both numbers are increased by 4 the ratio becomes 5 6 What is the...........

Quantitative Aptitude (CPO) Ratio, Proportion

The ratio of two numbers is 4 : 5. If both numbers are increased by 4, the ratio becomes 5 : 6. What is the sum of the two numbers?

- Let's begin by defining the numbers. Let the two numbers be 4x and 5x, following their ratio of 4:5.

- When both numbers are increased by 4, the equation becomes \(\frac{4x + 4}{5x + 4} = \frac{5}{6}\).

- Solving this equation: 6(4x + 4) = 5(5x + 4).

- Simplifying gives: 24x + 24 = 25x + 20.

- Solving: x = 4.

- The original numbers are 4x = 16 and 5x = 20.

- Therefore, their sum is 16 + 20 = 36.

- Your choice is: 4 - 36

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