Question : Three numbers are in the ratio 2 : 5 : 7. The sum of the smallest and largest number equals the sum of the second number and 16. What is the smallest number?
Option 1: 8
Option 2: 12
Option 3: 6
Option 4: 10
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Correct Answer: 8
Solution : Let the given number be $2x$, $5x$, and $7x$. According to the question, $2x + 7x = 5x +16$ ⇒ $9x – 5x = 16$ ⇒ $4x = 16$ ⇒ $x = 4$ Thus, the smallest number is $2x = 2 × 4 = 8$ Hence, the correct answer is 8.
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