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If , then a : b is equal to:

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OSSC CGLRE (Mains) Exam (Mathematics) Official Paper (Held On: 23 July, 2023)
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  1. 2 : 7
  2. 5 : 2
  3. 9 : 2
  4. 3 : 5

Answer (Detailed Solution Below)

Option 2 : 5 : 2
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Detailed Solution

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Given:

Formula used:

We will solve the equation to find the ratio .

Calculation:

Given:

⇒ Cross-multiply to solve for a and b:

⇒

⇒

⇒ Bring like terms together:

⇒

⇒

⇒ Divide both sides by 6:

⇒

⇒

∴ a : b = 5 : 2

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