If a : b : c = 2 : 3 : 4 and 2a - 3b + 4c = 33, then the value of c is-

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RRB ASM Exam (Ajmer) 2007 click here to view all questions

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: $a:b:c = 2:3:4$ $\therefore \frac{a}{2} = \frac{b}{3} = \frac{c}{4} =k$ $=>a=2k, b=3k, c=4k$ $\text{Given, } 2a-3b+4c =33$ $=> 2 * 2k - 3*3k+4*4k =33$ $=> 4k =9k+16k=33$ $=>11k =33$ $=> k = \frac{33}{11} =3$ $\therefore c = 4k$ $=> 4*3 =>12$ Nithin K ? answered Nov 20 '2016 at 18:52 All Comments

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