To solve this problem, let's first break down the information given:
Monique is 24 years old.
She is twice the age Valerie had when Monique was the same age that Valerie is now.
Let's assume Valerie's current age is "x" years.
When Monique was "x" years old, Valerie's age at that time was "x - (24 - x)" years.
This can be simplified to 2x - 24 years.
According to the problem, Monique's current age is 24 years, so when Monique was "x" years old, Valerie's age at that time was 2x - 24 years.
We can set up an equation to solve for x:
2x - 24 = 24
Adding 24 to both sides of the equation:
2x = 48
Dividing both sides of the equation by 2:
x = 24
Therefore, Valerie's current age is 24 years.
Let's go through each option to confirm our answer:
A) 12 - This option is incorrect because Valerie's current age is 24 years, not 12 years.
B) 24 - This option is incorrect because Valerie's current age is 24 years, not 24 years.
C) 48 - This option is incorrect because Valerie's current age is 24 years, not 48 years.
D) 18 - This option is correct because Valerie's current age is indeed 24 years.
The correct answer is D) 18. Valerie is currently 18 years old.