Jasmine is 10 years old and Rose is 12 years old. What will be their total ages after n years ?

Options

A. `(2n)` years
B. `(2n + 10)` years
C. `(2n + 12)` years
D. `(2n + 22)` years

Answer

To find the total ages of Jasmine and Rose after \( n \) years, we can follow these steps:

### Step 1: Determine Jasmine's current age
Jasmine is currently 10 years old.

### Step 2: Determine Rose's current age
Rose is currently 12 years old.

### Step 3: Calculate Jasmine's age after \( n \) years
After \( n \) years, Jasmine's age will be:
\[ \text{Jasmine's age after } n \text{ years} = 10 + n \]

### Step 4: Calculate Rose's age after \( n \) years
After \( n \) years, Rose's age will be:
\[ \text{Rose's age after } n \text{ years} = 12 + n \]

### Step 5: Calculate the total age after \( n \) years
To find the total age of both Jasmine and Rose after \( n \) years, we add their ages together:
\[ \text{Total age after } n \text{ years} = (10 + n) + (12 + n) \]

### Step 6: Simplify the expression
Now, we simplify the total age:
\[ \text{Total age after } n \text{ years} = 10 + 12 + n + n = 22 + 2n \]

### Final Answer
The total ages of Jasmine and Rose after \( n \) years will be:
\[ 22 + 2n \]

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