Question : The product of two positive numbers is 240. If the ratio of the two numbers is 3 : 5, then what is the sum of the two numbers?
Option 1: 46
Option 2: 45
Option 3: 32
Option 4: 42
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Correct Answer: 32
Solution : Let the numbers be 3$x$ and 5$x$ where $x$ is any positive integer. Then, (3$x$)(5$x$) = 240 ⇒ 15$x$ 2 = 240 ⇒ $x$ 2 = 16 ⇒ $x$ = 4 First number = 3$x$ = 3 × 4 = 12 Second number = 5$x$ = 5 × 4 = 20 The sum of two numbers = 12 + 20 = 32 Hence, the correct answer is 32.
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