Q. If a : b : c = 2 : 3 : 4 and 2a - 3b + 4c = 33, then the value of c is :
Answer: $latex 12$
Notes: $latex a : b : c = 2 : 3 : 4$ $latex \therefore \frac{a}{2} = \frac{b}{3} = \frac{c}{4} = k (let)&s=1$ $latex => a = 2k, b = 3k, c = 4k$ Given, $latex 2a - 3b + 4c = 33$ $latex => 2\times 2k - 3\times 3k + 4\times 4k = 33$ $latex => 4k - 9k + 16k = 33$ $latex => 11k = 33$ $latex => k = \frac{33}{11} = 3&s=1$ $latex \therefore c = 4k = 4\times 3 = 12$ Hence option [C] is correct answer.

0