Question : If x : y : z = 2 : 3 : 4, then what is the value of 7x : 3y : 2z?
Option 1: $14:9:8$
Option 2: $18:7:12$
Option 3: $12:6:11$
Option 4: $16:9:8$
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Correct Answer: $14:9:8$
Solution : According to the question Let k be the common multiplier ⇒ x = 2k, y = 3k, and z = 4k Now, 7x : 3y : 2z = 7 × (2k) : 3 × (3k) : 2 × (4k) = 14k : 9k : 8k Simplify the equation by dividing the common factor k ⇒ $\frac{14k}{k}$ : $\frac{9k}{k}$ : $\frac{8k}{k}$ = $14 : 9 : 8$ Hence, the correct answer is $14: 9 : 8$.
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