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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