The ratio of the ages of two sisters today is 1 : 2. However, after 4 years, the ratio would be 2:3. What is the age of the eldest sister today?
A. 12 years B. 8 years C. 6 years D. 10 years
Correct Answer: B
Explanation
To find the age of the eldest sister, follow these steps:
1. Set Up the Initial Ratio: - Let the current ages of the two sisters be and respectively, where is the age of the younger sister and is the age of the eldest sister.
2. Use the Future Ratio: - After 4 years, the ages of the sisters will be and . - The new ratio of their ages will be 2:3:
3. Solve the Ratio Equation: - Cross-multiply to solve for :
4. Find the Eldest Sister's Age: - The age of the eldest sister is :