Niharika is 6m years old. She is thrice as old as her brother. What will be the sum of their ages after six years?

Options

A. (8m + 6) years
B. (8m + 12) years
C. (24m + 6) years
D. (24m +12) years

Answer

To solve the problem, we need to determine the current age of Niharika's brother and then calculate their ages after six years to find the sum of their ages.

### Step 1: Determine Niharika's Age
Niharika is currently 6 years old.

### Step 2: Determine Brother's Age
Since Niharika is thrice as old as her brother, we can set up the equation:
Let the brother's age be \( x \).
According to the problem:
\[ 6 = 3x \]

### Step 3: Solve for Brother's Age
To find \( x \), we divide both sides of the equation by 3:
\[ x = \frac{6}{3} = 2 \]
So, Niharika's brother is currently 2 years old.

### Step 4: Calculate Their Ages After Six Years
In six years, Niharika's age will be:
\[ 6 + 6 = 12 \]
And her brother's age will be:
\[ 2 + 6 = 8 \]

### Step 5: Find the Sum of Their Ages After Six Years
Now, we add their ages together:
\[ 12 + 8 = 20 \]

### Final Answer
The sum of their ages after six years will be **20 years**.

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