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If a/6 = b/4 = c/6 then the value of (a + b)/(b + c)

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If a/6 = b/4 = c/6 then the value of (a + b)/(b + c)
1. 1 : 1
2. 2 : 1
3. 2 : 3
4. 1 : 2
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Correct Answer - Option 1 : 1 : 1

Given

Let a/6 = b/4 = c/6

Calculation

Let a/6 = k, a = 6k

Similarly b = 4k and c = 6k

⇒ (a + b) = 10k

⇒ (b + c) = 10k

⇒ (a + b)/(b + c) = 10k/10k

∴ (a + b)/(b + c) = 1 : 1

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