A Mother is 25 years older than her daughter.
The sum of their ages is 40.
What is the age of the daughter?
A Mother is 25 years older than her daughter.
The sum of their ages is 40.
What is the age of the daughter?
To solve this problem, we need to set up a system of equations based on the information given. We can start by assigning variables to represent the ages of the mother and daughter:
for the mother's age, and for the daughter's age.
From the problem statement, we know the following:
We can substitute the first equation into the second equation to solve for :
This simplifies to:
Subtract 25 from both sides to isolate the term with :
Which is:
Now, divide both sides by 2 to solve for :
Thus, the daughter's age is years old.
This solution checks out as it satisfies both given conditions in the problem statement.