Determining Kriti's Money Amount

This solution breaks down the problem about the amounts of money held by Vineet, Rajesh, and Kriti. We will establish relationships between their money based on the clues given and calculate the specific amount Kriti possesses.

Understanding the Money Distribution Scenario

We are given a situation involving three individuals: Vineet, Rajesh, and Kriti. We know specific relationships between the amounts of money they have:

• Rajesh's money is double Vineet's money.
• The combined money of Rajesh and Kriti is Rs. 147.
• Kriti's money is Rs. 6 more than Vineet's money.

Our goal is to find out exactly how much money Kriti has.

Assigning Variables to Amounts

To make the calculations easier, let's assign simple variables to represent the unknown amounts of money:

• Let $V$ represent the amount of money Vineet has.
• Let $R$ represent the amount of money Rajesh has.
• Let $K$ represent the amount of money Kriti has.

Formulating Equations from Clues

Now, let's translate each piece of information given in the problem into mathematical equations:

1. "Rajesh has just double the amount of money than Vineet."
   This translates to the equation:
   $R = 2V$
2. "The total amount of money that Rajesh and Kriti have is Rs. 147."
   This translates to the equation:
   $R + K = 147$
3. "Kriti has Rs. 6 more than the amount Vineet has."
   This translates to the equation:
   $K = V + 6$

We now have a system of three equations with three variables:

1. $R = 2V$
2. $R + K = 147$
3. $K = V + 6$

Solving for Vineet's Money

We can use substitution to solve this system. Our aim is to find $K$. Let's first find the value of $V$.

We can substitute the expression for $R$ from equation (1) into equation (2):

$(2V) + K = 147$

Now we have a new equation:

1. $2V + K = 147$

We also have equation (3):

3. $K = V + 6$

Let's substitute the expression for $K$ from equation (3) into the new equation (from step 2):

$2V + (V + 6) = 147$

Now, we solve this equation for $V$:

• Combine the $V$ terms: $3V + 6 = 147$
• Subtract 6 from both sides: $3V = 147 - 6$
• Simplify: $3V = 141$
• Divide by 3: $V = \frac{141}{3}$
• Calculate the value: $V = 47$

So, Vineet has Rs. 47.

Calculating Kriti's Final Money Amount

Now that we know the value of $V$, we can easily find the amount of money Kriti has using equation (3).

Equation (3) is: $K = V + 6$

Substitute the value $V = 47$ into the equation:

$K = 47 + 6$

Calculate the sum:

$K = 53$

Therefore, Kriti has Rs. 53.

(We can also find Rajesh's amount: $R = 2V = 2 \times 47 = 94$. Checking the total: $R + K = 94 + 53 = 147$, which matches the given information.)