Jackson Is 6 Years Older Than 3 Times The Age Of His Nephew. Jackson Is 30 Years Old. How Old Is His Nephew?Choose The Steps That Show How To Solve This Problem Using Arithmetic.A. 1. Start With Jackson's Age: 30.2. Subtract 6: [$30 - 6 =
Introduction
In this article, we will explore a simple yet intriguing problem involving the ages of two family members, Jackson and his nephew. We will use arithmetic to solve for the nephew's age, given that Jackson is 30 years old and 6 years older than 3 times the age of his nephew.
Understanding the Problem
Let's break down the problem statement:
- Jackson is 6 years older than 3 times the age of his nephew.
- Jackson is 30 years old.
We need to find the age of Jackson's nephew.
Step-by-Step Solution
Step 1: Define the Variables
Let's denote the age of Jackson's nephew as "x".
Step 2: Translate the Problem into an Equation
According to the problem statement, Jackson is 6 years older than 3 times the age of his nephew. We can write this as an equation:
Jackson's age = 3 × nephew's age + 6
Substituting Jackson's age as 30, we get:
30 = 3x + 6
Step 3: Subtract 6 from Both Sides
To isolate the term involving the nephew's age, we subtract 6 from both sides of the equation:
30 - 6 = 3x + 6 - 6
This simplifies to:
24 = 3x
Step 4: Divide Both Sides by 3
To solve for the nephew's age, we divide both sides of the equation by 3:
24 ÷ 3 = 3x ÷ 3
This simplifies to:
8 = x
Step 5: Conclusion
Therefore, the age of Jackson's nephew is 8 years old.
Discussion
In this problem, we used basic arithmetic operations such as subtraction and division to solve for the nephew's age. We started with Jackson's age and worked backwards to find the nephew's age. This problem illustrates the importance of clear problem-solving strategies and the use of variables to represent unknown values.
Conclusion
Introduction
In our previous article, we explored a simple yet intriguing problem involving the ages of two family members, Jackson and his nephew. We used arithmetic to solve for the nephew's age, given that Jackson is 30 years old and 6 years older than 3 times the age of his nephew. In this article, we will address some of the most frequently asked questions related to this problem.
Q&A
Q: What is the problem statement?
A: The problem statement is: "Jackson is 6 years older than 3 times the age of his nephew. Jackson is 30 years old. How old is his nephew?"
Q: What is the solution to the problem?
A: The solution to the problem is: The age of Jackson's nephew is 8 years old.
Q: How do I solve this problem using arithmetic?
A: To solve this problem using arithmetic, follow these steps:
- Start with Jackson's age: 30.
- Subtract 6: 30 - 6 = 24.
- Divide both sides by 3: 24 ÷ 3 = 8.
Q: What if I get stuck on a step?
A: If you get stuck on a step, try breaking it down further. For example, if you're having trouble with the subtraction step, try rewriting the equation as: 30 = 3x + 6. Then, subtract 6 from both sides: 30 - 6 = 3x + 6 - 6.
Q: Can I use a different method to solve this problem?
A: Yes, you can use a different method to solve this problem. For example, you can use algebraic manipulation or graphing. However, the arithmetic method outlined above is a straightforward and efficient way to solve the problem.
Q: What if I make a mistake in my calculations?
A: If you make a mistake in your calculations, double-check your work. Make sure you're following the correct steps and using the correct operations. If you're still having trouble, try re-reading the problem statement and re-working the solution.
Q: Can I apply this problem to real-life situations?
A: Yes, you can apply this problem to real-life situations. For example, if you're trying to determine the age of a family member based on their relationship to another family member, you can use this problem as a starting point.
Conclusion
In conclusion, we hope this Q&A article has provided a helpful resource for those struggling with the age problem. By following the step-by-step solution outlined above, you should be able to solve the problem with ease. Remember to double-check your work and apply the problem to real-life situations to reinforce your understanding.
Additional Resources
- For more math problems and solutions, visit our math resources page.
- For additional practice with arithmetic operations, try our online math games and quizzes.
- For help with algebraic manipulation or graphing, visit our algebra resources page.