If Meera's mother age is four times of Meera. After 5 years Meera's mother age will be three times than Meera. Then what will be the age of Meera ?

Options

A. A)10 years
B. B)15 years
C. C)20 years
D. D)23 years

Answer

To solve the problem step by step, we can follow these steps:

### Step 1: Define Variables
Let Meera's current age be represented by \( k \).

### Step 2: Express Mother's Age
According to the problem, Meera's mother's age is four times Meera's age. Therefore, we can express her mother's age as:
\[ \text{Mother's Age} = 4k \]

### Step 3: Determine Future Ages
In 5 years, Meera's age will be:
\[ \text{Meera's Age in 5 years} = k + 5 \]
And her mother's age will be:
\[ \text{Mother's Age in 5 years} = 4k + 5 \]

### Step 4: Set Up the Equation
According to the problem, after 5 years, Meera's mother's age will be three times Meera's age. We can set up the equation:
\[ 4k + 5 = 3(k + 5) \]

### Step 5: Expand and Simplify the Equation
Now, we will expand the right side of the equation:
\[ 4k + 5 = 3k + 15 \]

### Step 6: Solve for \( k \)
Next, we will isolate \( k \) by moving all terms involving \( k \) to one side and constant terms to the other side:
\[ 4k - 3k = 15 - 5 \]
This simplifies to:
\[ k = 10 \]

### Step 7: Conclusion
Thus, Meera's current age is:
\[ \text{Meera's Age} = k = 10 \text{ years} \]