Two numbers are in the ratio 2 3 If 5 is subtracted from the first number and six is added to the se...........

Quantitative Aptitude (CGL) Ratio, Proportion

Two numbers are in the ratio 2 : 3. If 5 is subtracted from the first number and six is added to the second number, then the ratio

becomes 5 : 12. What would the ratio become when eight is added to each number?

This questions was previously asked in

SSC CGL 20th August 2021 Shift-3

19 : 14

14 : 19

11 : 14

14 : 11

- Let's denote the two numbers as 2x and 3x due to their ratio of 2:3.

- Subtracting 5 from the first number and adding 6 to the second gives (2x - 5) and (3x + 6).

- The ratio equation becomes (2x - 5) / (3x + 6) = 5/12.

- Solving this equation, we find x = 9.

- Thus, the original numbers are 18 and 27.

- Adding 8 to each number, we get 26 and 35.

- The new ratio becomes 26:35.

- Simplifying 26:35 results in 14:19.

Option:2, 14 : 19

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