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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