If a : b : c = 2 : 3 : 4 and 2a - 3b + 4c = 33, then the value of c is-
If a : b : c = 2 : 3 : 4 and 2a - 3b + 4c = 33, then the value of c is-
A6
B9
C12
D66/7
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Answer is : 12
Explanation:
\(a:b:c = 2:3:4\)
\(\therefore \frac{a}{2} = \frac{b}{3} = \frac{c}{4} =k\)
\(=>a=2k, b=3k, c=4k\)
\(\text{Given, } 2a-3b+4c =33\)
\(=> 2 * 2k - 3*3k+4*4k =33\)
\(=> 4k =9k+16k=33\)
\(=>11k =33\)
\(=> k = \frac{33}{11} =3\)
\(\therefore c = 4k \)
\(=> 4*3 =>12\)
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