Find the number that must be subtracted from the terms of the ratio 15: 19 to make it equal to 3 : 4.

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  1. 4
  2. 5
  3. 2
  4. 3

Answer (Detailed Solution Below)

Option 4 : 3
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Detailed Solution

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Given:

Ratio 1: 15

Ratio 2: 19

New Ratio 1: 3

New Ratio 2: 4

Formula used:

Let x be the number to be subtracted.

(15 - x) / (19 - x) = 3 / 4

Calculation:

⇒ (15 - x) / (19 - x) = 3 / 4

⇒ 4 × (15 - x) = 3 × (19 - x)

⇒ 60 - 4x = 57 - 3x

⇒ 60 - 57 = 4x - 3x

⇒ 3 = x

∴ The correct answer is option 4.

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