Question : The ratio of three numbers is 3 : 6 : 8. If their product is 9216, then what is the sum of the three numbers?
Option 1: 96
Option 2: 72
Option 3: 144
Option 4: 68
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Correct Answer: 68
Solution : Given: The ratio of three numbers is 3 : 6 : 8. Their product is 9216. Let the numbers be $3k, 6k$, and $8k$. Product of $3k × 6k × 8k = 9216$ ⇒ $144k^{3}=9216$ ⇒ $k^{3}=\frac{9216}{144}$ ⇒ $k=\sqrt[3]{64}$ ⇒ $k=4$ The sum of the numbers $=3k+ 6k+8k=17k= 17 × 4 = 68$ Hence, the correct answer is 68.
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