When the present age of the mother is added to the present age of the daughter, the sum is 40 years. What will be their total age after 5 years?
A. 45 years B. 50 years C. 40 years D. 55 years
Correct Answer: B
Explanation
To determine their total age after 5 years, follow these steps:
1. Current Ages: Let \( M \) be the current age of the mother and \( D \) be the current age of the daughter. According to the problem: \[ M + D = 40 \]
2. Ages After 5 Years: After 5 years, the mother will be \( M + 5 \) years old, and the daughter will be \( D + 5 \) years old.
3. Calculate Total Age After 5 Years: \[ \text{Total age after 5 years} = (M + 5) + (D + 5) \] \[ = M + D + 10 \]
Given \( M + D = 40 \): \[ \text{Total age after 5 years} = 40 + 10 = 50 \]
The total age of the mother and daughter after 5 years will be 50 years.