Question : The current ages of Sonali and Monali are in the ratio 5 : 3. Five years from now, their ages will be in the ratio of 10 : 7. Determine Monali's current age.
Option 1: 5 years
Option 2: 3 years
Option 3: 9 years
Option 4: 15 years
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Correct Answer: 9 years
Solution :
Given: The current ages of Sonali and Monali are in the ratio 5 : 3.
Five years from now, their ages will be in the ratio 10 : 7.
Let the ages of Sonali and Monali be $5x$ years and $3x$ years respectively.
As per the given conditions,
⇒ $\frac{5x+5}{3x+5}=\frac{10}{7}$
⇒ $7(5x+5)=10(3x+5)$
⇒ $35x–30x=50–35$
⇒ $5x=15$
⇒ $x=3$
So, Monali's current age = 3 × 3 = 9 years
Hence, the correct answer is 9 years.
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