If  and , then = ?

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OSSC CGLRE (Mains) Exam (Mathematics) Official Paper (Held On: 23 July, 2023)
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Answer (Detailed Solution Below)

Option 1 :
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Detailed Solution

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Given:

and

Formula used:

We need to find the value of .

Calculation:

Let a = 2k, b = 3k, and b = 4m, c = 5m, where k and m are constants.

⇒ Now, we can express and :

⇒ a + b = 2k + 3k = 5k

⇒ b + c = 4m + 5m = 9m

Next, find the ratio of :

⇒ Substitute the value of using :

∴ The value of is .

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