Question : Two numbers are in the ratio of 2 : 3. If their sum is 125, find the numbers.
Option 1: 50 and 75
Option 2: 24 and 36
Option 3: 20 and 30
Option 4: 32 and 78
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Correct Answer: 50 and 75
Solution :
Given: The two numbers are in the ratio of 2 : 3.
Their sum is 125.
Let the numbers be $2x$ and $3x$.
As per given condition,
$2x+3x=125$
⇒ $5x=125$
⇒ $x=\frac{125}{5}$
⇒ $x=25$
So, the numbers are 50 and 75.
Hence, the correct answer is 50 and 75.
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