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Age
Answer
: 18
years old
Let's use algebra to solve this problem.
Let \(V\) represent Valerie's current age and \(M\) represent Monique's
current age.
The first piece of information can be expressed as:
\[ M = 24 \]
The second piece of information can be expressed as:
\[ M = 2 \cdot (V - (24 - V)) \]
Let's simplify the second equation:
\[ M = 2 \cdot (V - 24 + V) \]
\[ M = 2 \cdot (2V - 24) \]
\[ M = 4V - 48 \]
Now, since both expressions equal \(M\), we can set them equal to each
other:
\[ 24 = 4V - 48 \]
Add 48 to both sides:
\[ 72 = 4V \]
Divide both sides by 4:
\[ V = 18 \]
So, Valerie is 18
years old. |
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