This question was previously asked in

SSC GD Previous Paper 18 (Held On: 19 Feb 2019 Shift 1)_English

Option 3 : 3 : 4

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10 Questions
10 Marks
10 Mins

**Given:**

The ratio of two numbers = 3 ∶ 5

After subtracted 9 from each number so new ratio = 12 ∶ 23

**Calculations:**

Let the first and second number be 3x and 5x respectively

According to the question,

(3x – 9)/(5x – 9) = 12/23

⇒ (x – 3)/(5x – 9) = 4/23

⇒ 23x – 69 = 20x – 36

⇒ 3x = 33

⇒ x = 11

So, first number = 3x = 33

Second number = 5x = 55

3 is added to the smaller number and 7 is subtracted from the other number

Required ratio = (33 + 3) ∶ (55 – 7) = 36 ∶ 48 = 3 ∶ 4

**∴ Required ratio is 3 ∶ 4**