Latika's present age is y years. Express the present age (in years) of Latika's mother in algebraic form, if she is four times as old as what Latika will be after one year.

Options

A. `4y +1`
B. `4(2y + 1)`
C. `4(y+1)`
D. 4y

Answer

To find the present age of Latika's mother in algebraic form, we can follow these steps:

1. **Identify Latika's Present Age**:
- Latika's present age is given as \( y \) years.

2. **Determine Latika's Age After One Year**:
- After one year, Latika's age will be \( y + 1 \) years.

3. **Calculate Latika's Mother's Age**:
- According to the problem, Latika's mother is four times as old as Latika will be after one year.
- Therefore, Latika's mother's age can be expressed as:
\[ \text{Mother's age} = 4 \times (y + 1) \]

4. **Simplify the Expression**:
- Now, simplify the expression for Latika's mother's age:
\[ \text{Mother's age} = 4y + 4 \]

Thus, the present age of Latika's mother in algebraic form is \( 4y + 4 \) years.