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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
Answer (1)
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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