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?
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Correct Answer: Option 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.
The correct answer is B. 50 years.
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.
The correct answer is B. 50 years.