Mathematics
If a : b : c = 2 : 3 : 4 and 2a − 3b + 4c = 33, then the value of c is :
6
9
12
Ratio Proportion
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Answer
Given,
a : b : c = 2 : 3 : 4
Let a = 2k, b = 3k and c = 4k for some constant k.
Substituting value of a, b and c in 2a − 3b + 4c = 33, we get :
⇒ 2(2k) − 3(3k) + 4(4k) = 33
⇒ 4k - 9k + 16k = 33
⇒ 11k = 33
⇒ k =
⇒ k = 3.
⇒ 4k = 4(3) = 12.
Hence, option 4 is the correct option.
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