Rohan Has 24 Marbles More Than Neeta But 10 Marbles Less Than Sachin . Together Rohan And Neeta Have 50 Marbles Find The Total Number Of Marbles.​

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Marble Math: Solving the Mystery of Rohan's Marbles

In this article, we will delve into a mathematical puzzle involving three individuals: Rohan, Neeta, and Sachin. The problem revolves around the number of marbles each person possesses, with Rohan having a unique relationship with both Neeta and Sachin. Our goal is to determine the total number of marbles, given that Rohan and Neeta together have 50 marbles.

Rohan has 24 marbles more than Neeta, but 10 marbles less than Sachin. Together, Rohan and Neeta have 50 marbles. Let's denote the number of marbles Neeta has as N. Then, Rohan has N + 24 marbles, and Sachin has N + 24 + 10 = N + 34 marbles.

We can set up two equations based on the given information:

  1. Rohan and Neeta together have 50 marbles: (N + 24) + N = 50
  2. The total number of marbles is the sum of what Rohan, Neeta, and Sachin have: (N + 24) + N + (N + 34) = Total

Let's start by solving the first equation:

(N + 24) + N = 50

Combine like terms:

2N + 24 = 50

Subtract 24 from both sides:

2N = 26

Divide both sides by 2:

N = 13

Now that we know Neeta has 13 marbles, we can find the number of marbles Rohan and Sachin have:

  • Rohan: N + 24 = 13 + 24 = 37
  • Sachin: N + 34 = 13 + 34 = 47

Now that we know the number of marbles each person has, we can calculate the total number of marbles:

Total = (N + 24) + N + (N + 34) = 37 + 13 + 47 = 97

In this article, we solved a mathematical puzzle involving three individuals and their marbles. By setting up and solving two equations, we determined that Neeta has 13 marbles, Rohan has 37 marbles, and Sachin has 47 marbles. The total number of marbles is 97.

  • The problem can be solved by setting up and solving two equations.
  • The number of marbles each person has can be found by substituting the value of N into the equations.
  • The total number of marbles is the sum of what each person has.

This problem can be applied to real-world scenarios where we need to solve for unknown values. For example, in business, we might need to determine the total cost of a project by knowing the individual costs of each component. In science, we might need to calculate the total amount of a substance by knowing the amount each person has.

  • When solving equations, make sure to combine like terms and isolate the variable.
  • Use substitution to find the value of the variable.
  • Check your work by plugging the value back into the original equation.
  • Q: How do I know which equation to solve first? A: Start with the equation that has the most information. In this case, the first equation has the most information.
  • Q: What if I get stuck on a problem? A: Take a step back and re-read the problem. Look for any mistakes or misunderstandings. If you're still stuck, try breaking the problem down into smaller parts.
  • Khan Academy: Algebra
  • Mathway: Algebra Solver
  • Wolfram Alpha: Algebra Calculator
    Marble Math: Q&A

In our previous article, we solved a mathematical puzzle involving three individuals and their marbles. We determined that Neeta has 13 marbles, Rohan has 37 marbles, and Sachin has 47 marbles. The total number of marbles is 97. In this article, we will answer some frequently asked questions related to the problem.

A: Start with the equation that has the most information. In this case, the first equation has the most information. The first equation is (N + 24) + N = 50, which has two variables and one equation. The second equation is (N + 24) + N + (N + 34) = Total, which has three variables and one equation. Solving the first equation first will give us the value of N, which we can then use to solve the second equation.

A: Take a step back and re-read the problem. Look for any mistakes or misunderstandings. If you're still stuck, try breaking the problem down into smaller parts. In this case, we can break the problem down into two smaller problems:

  1. Find the value of N.
  2. Find the total number of marbles.

A: Yes, you can use a calculator to solve the problem. However, it's always a good idea to understand the steps involved in solving the problem. Using a calculator can help you check your work and ensure that you're getting the correct answer.

A: To check your answer, plug the value back into the original equation. In this case, we can plug the value of N back into the first equation to check our work:

(N + 24) + N = 50 (13 + 24) + 13 = 50 37 + 13 = 50 50 = 50

A: Yes, you can use this problem to solve other problems. The problem involves solving a system of equations, which is a common technique used in mathematics. You can use this problem as a starting point to learn more about solving systems of equations.

A: This problem can be applied to real-world scenarios where we need to solve for unknown values. For example, in business, we might need to determine the total cost of a project by knowing the individual costs of each component. In science, we might need to calculate the total amount of a substance by knowing the amount each person has.

A: Make sure to use the correct variables and equations. In this case, we used the variables N, R, and S to represent the number of marbles Neeta, Rohan, and Sachin have, respectively. We also used the equations (N + 24) + N = 50 and (N + 24) + N + (N + 34) = Total to represent the relationships between the variables.

A: Yes, you can use this problem to learn more about algebra. The problem involves solving a system of equations, which is a common technique used in algebra. You can use this problem as a starting point to learn more about algebra and how to solve systems of equations.

In this article, we answered some frequently asked questions related to the marble math problem. We covered topics such as which equation to solve first, how to get stuck on a problem, and how to use a calculator to solve the problem. We also discussed real-world applications of the problem and how to use it to learn more about algebra.