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
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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