The total age of a mother and her daughter is 60 years. The difference between their ages is 30 years. Find out the age of the mother.

Options

A. A) 40 years
B. B) 45 years
C. C) 50 years
D. D) 55 years

Explanation

To solve the problem, we can set up a system of equations based on the information given.

1. **Define Variables:**
Let the age of the daughter be \( x \) years.
Then, the age of the mother will be \( x + 30 \) years (since the mother is 30 years older than the daughter).

2. **Set Up Equations:**
According to the problem, the total age of the mother and daughter is 60 years. We can express this as:
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