Question : The ratio of three numbers is 2 : 3 : 5. If the sum of the three numbers is 275, then what is the largest among the three numbers?
Option 1: 142
Option 2: 82.5
Option 3: 137.5
Option 4: 152
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Correct Answer: 137.5
Solution : The ratio of three numbers = 2 : 3 : 5 Let the numbers be $2x$, $3x$ and $5x$. Since the sum of the three numbers = 275 ⇒ $2x + 3x + 5x$ = $275$ ⇒ $10x$ = $275$ ⇒ $x$ = $27.5$ Largest number = 5$x$ = 5 × 27.5 = 137.5 Hence, the correct answer is 137.5.
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