The ratio of two numbers is 3 5 If both numbers are increased by 8 the ratio becomes 13 19 What is t...........

Quantitative Aptitude (CPO) Ratio, Proportion

The ratio of two numbers is 3 : 5. If both numbers are increased by 8, the ratio becomes 13 : 19. What is the sum of the two numbers?

- Let the two numbers be 3x and 5x, reflecting the initial ratio of 3:5.

- When both numbers are increased by 8, the new numbers are (3x + 8) and (5x + 8).

- The new ratio is given as 13:19.

- So, the equation becomes: (3x + 8) / (5x + 8) = 13 / 19.

- Cross-multiply to solve for x: 19(3x + 8) = 13(5x + 8).

- Simplify: 57x + 152 = 65x + 104.

- Rearrange: 8x = 48.

- Solve for x: x = 6.

- Thus, the original numbers are 3x = 18 and 5x = 30.

- Their sum is 18 + 30, which equals 48.

- Option 2: 48 is the correct answer.

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