Claire’s mother is 4 years more than twice Claire’s age. The sum of their ages is 58 years.
How old is Claire and her mother?
To find the ages of Claire and her mother, we can set up a system of equations based on the information given.
Let's assume Claire's age is x years.
According to the given information, Claire’s mother is 4 years more than twice Claire’s age. So, her mother's age would be (2x + 4) years.
The sum of their ages is 58 years. Therefore, the equation can be written as:
x + (2x + 4) = 58
Now, we can solve the equation to find the value of x, which represents Claire's age.
Combining like terms, we get:
3x + 4 = 58
Next, we need to isolate the variable x. We can do this by subtracting 4 from both sides of the equation:
3x = 58 - 4
3x = 54
Now we can solve for x by dividing both sides by 3:
x = 54 / 3
x = 18
So, Claire is 18 years old.
To find Claire's mother's age, we can substitute Claire's age into the equation for her mother's age:
Mother's age = 2x + 4
= 2 * 18 + 4
= 36 + 4
= 40
Therefore, Claire's mother is 40 years old.
C = Claire's age
C + 2C + 4 = 58
3C = 54
C = ?