Question : If the sum of two quantities is equal to three times their difference, then the ratio of the two quantities is:
Option 1: 1 : 3
Option 2: 3 : 1
Option 3: 2 : 1
Option 4: 2 : 3

Question

Question : If the square of the sum of two numbers is equal to 4 times their product, then the ratio of these numbers is:
Option 1: 2 : 1
Option 2: 1 : 3
Option 3: 1 : 1
Option 4: 1 : 2

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Answer 1

Correct Answer: 2 : 1

Solution : Let the numbers be $x$ and $y$ .
The sum of the number is $x + y$ .
Three times the difference be $3 (x - y)$ .
According to the given conditions,
$x + y = 3 (x - y)$
$\Rightarrow x + y = 3 x - 3 y$
$\Rightarrow 2 x = 4 y$
$\Rightarrow x = 2 y$
⇒ $\frac{x}{y} = \frac{2}{1}$
Thus, $x : y = 2 : 1$
Hence, the correct answer is 2 : 1.

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Question : If the sum of two quantities is equal to three times their difference, then the ratio of the two quantities is:Option 1: 1 : 3Option 2: 3 : 1Option 3: 2 : 1Option 4: 2 : 3

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Question : If the sum of two quantities is equal to three times their difference, then the ratio of the two quantities is:
Option 1: 1 : 3
Option 2: 3 : 1
Option 3: 2 : 1
Option 4: 2 : 3