In A Group Of 5 Boys $(a, B, C, D, E)$, They Had $x, X+3, X+4, X+5, \text{and } X+8$ Rupees Respectively. Find How Much ' $d$ ' Had If Their Average Amount Is 20.A. Rs. 16 B. Rs. 18 C. Rs. 21 D. Rs. 33

In a Group of 5 Boys: Finding the Amount of 'd'

In this problem, we are given a group of 5 boys with different amounts of money. The amounts are represented as $x, x+3, x+4, x+5,$ and $x+8$ rupees respectively. We are asked to find the amount of money 'd' had if their average amount is 20 rupees. This problem involves basic algebraic concepts and requires us to find the value of 'd' using the given information.

Let's break down the problem and understand what is being asked. We have 5 boys with different amounts of money, and we need to find the amount of money 'd' had. The average amount of money among the 5 boys is given as 20 rupees. To find the amount of money 'd' had, we need to use the concept of averages and algebraic equations.

The average amount of money among the 5 boys is given as 20 rupees. To find the total amount of money, we can multiply the average amount by the number of boys. In this case, the total amount of money is $20 \times 5 = 100$ rupees.

Let's represent the amount of money 'd' had as $x+5$. We know that the total amount of money is 100 rupees, and we can set up an equation using the given information. The equation is:

$$x + (x+3) + (x+4) + (x+5) + (x+8) = 100$$

Simplifying the equation, we get:

$$5x + 20 = 100$$

To solve the equation, we need to isolate the variable 'x'. We can do this by subtracting 20 from both sides of the equation:

$$5x = 80$$

Next, we can divide both sides of the equation by 5 to find the value of 'x':

$$x = 16$$

Now that we have found the value of 'x', we can find the amount of money 'd' had. We know that 'd' had $x+5$ rupees, and we can substitute the value of 'x' into this expression:

$$d = x + 5$$

Substituting $x = 16$, we get:

$$d = 16 + 5$$

$$d = 21$$

In this problem, we were given a group of 5 boys with different amounts of money. We were asked to find the amount of money 'd' had if their average amount is 20 rupees. Using the concept of averages and algebraic equations, we were able to find the value of 'd' as 21 rupees.

The correct answer is C. Rs. 21.
In a Group of 5 Boys: Q&A

In our previous article, we solved a problem where we were given a group of 5 boys with different amounts of money. We were asked to find the amount of money 'd' had if their average amount is 20 rupees. In this article, we will provide a Q&A section to help clarify any doubts and provide additional information on the problem.

A: The average amount of money among the 5 boys is given as 20 rupees.

A: To find the total amount of money, we can multiply the average amount by the number of boys. In this case, the total amount of money is $20 \times 5 = 100$ rupees.

A: We can set up an equation using the given information. The equation is:

$$x + (x+3) + (x+4) + (x+5) + (x+8) = 100$$

A: We can simplify the equation by combining like terms. The equation becomes:

$$5x + 20 = 100$$

A: To solve the equation, we need to isolate the variable 'x'. We can do this by subtracting 20 from both sides of the equation:

$$5x = 80$$

Next, we can divide both sides of the equation by 5 to find the value of 'x':

$$x = 16$$

A: Now that we have found the value of 'x', we can find the amount of money 'd' had. We know that 'd' had $x+5$ rupees, and we can substitute the value of 'x' into this expression:

$$d = x + 5$$

Substituting $x = 16$, we get:

$$d = 16 + 5$$

$$d = 21$$

A: The correct answer is C. Rs. 21.

• Q: What if the average amount of money is not given? A: In that case, we would need to use the given information to find the average amount of money.
• Q: How do we handle cases where the amounts of money are not integers? A: In that case, we would need to use decimal numbers to represent the amounts of money.
• Q: Can we use this method to find the amount of money 'd' had in other scenarios? A: Yes, we can use this method to find the amount of money 'd' had in other scenarios where the average amount of money is given.

In this Q&A article, we provided additional information and clarification on the problem of finding the amount of money 'd' had in a group of 5 boys. We hope that this article has helped to answer any doubts and provide a better understanding of the problem.