Two numbers are in the ratio 4 9 If both the numbers are increased by 12 the ratio becomes 11 21 The...........

Quantitative Aptitude (CPO) Ratio, Proportion

Two numbers are in the ratio 4 : 9. If both the numbers are increased by 12, the ratio becomes 11 :21. The sum of the original

numbers is:

This questions was previously asked in

SSC CPO 15th-March-2019-Shift-2

128

104

- Let's denote the two numbers as 4x and 9x, given their ratio is 4:9.

- When both numbers are increased by 12, they become 4x + 12 and 9x + 12.

- The new ratio is given as 11:21.

- Set up the equation: (4x + 12)/(9x + 12) = 11/21.

- Cross-multiply to get: 21(4x + 12) = 11(9x + 12).

- Simplify the equation: 84x + 252 = 99x + 132.

- Rearrange to get: 252 - 132 = 99x - 84x, resulting in 120 = 15x.

- Solve for x: x = 8.

- Original numbers are 32 and 72.

- Their sum = 32 + 72 = 104.

The sum of the original numbers is 104.

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