Question : The sum of two numbers is thrice their difference, their ratio is:
Option 1: 1 : 2
Option 2: 2 : 1
Option 3: 3 : 1
Option 4: 1 : 3
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Correct Answer: 2 : 1
Solution : Given: The sum of two numbers is thrice of their difference. Let the two numbers be $a$ and $b$. As per given conditions, $a + b = 3(a -b)$ ⇒ $a + b = 3a - 3b$ ⇒ $4b = 2a$ ⇒ $\frac{a}{b}=\frac{2}{1}$ $\therefore a : b = 2 : 1$ Hence, the correct answer is 2 : 1.
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