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Answer :
To solve the problem of finding Jackson's nephew's age, you can follow these steps:
1. Understand the relationship: Jackson is 6 years older than 3 times the age of his nephew. This means Jackson's age is equal to 3 times his nephew's age plus 6.
2. Use Jackson's current age: We know Jackson is 30 years old.
3. Set up the equation: Based on the relationship, you have the equation:
[tex]\( 3 \times \text{nephew's age} + 6 = \text{Jackson's age} \)[/tex].
4. Insert Jackson's age into the equation:
[tex]\( 3 \times \text{nephew's age} + 6 = 30 \)[/tex].
5. Solve for the nephew's age:
- Subtract 6 from both sides of the equation:
[tex]\[
3 \times \text{nephew's age} = 30 - 6
\][/tex]
- Simplify the equation:
[tex]\[
3 \times \text{nephew's age} = 24
\][/tex]
- Divide both sides by 3 to find the nephew's age:
[tex]\[
\text{nephew's age} = \frac{24}{3} = 8
\][/tex]
So, Jackson's nephew is 8 years old.
1. Understand the relationship: Jackson is 6 years older than 3 times the age of his nephew. This means Jackson's age is equal to 3 times his nephew's age plus 6.
2. Use Jackson's current age: We know Jackson is 30 years old.
3. Set up the equation: Based on the relationship, you have the equation:
[tex]\( 3 \times \text{nephew's age} + 6 = \text{Jackson's age} \)[/tex].
4. Insert Jackson's age into the equation:
[tex]\( 3 \times \text{nephew's age} + 6 = 30 \)[/tex].
5. Solve for the nephew's age:
- Subtract 6 from both sides of the equation:
[tex]\[
3 \times \text{nephew's age} = 30 - 6
\][/tex]
- Simplify the equation:
[tex]\[
3 \times \text{nephew's age} = 24
\][/tex]
- Divide both sides by 3 to find the nephew's age:
[tex]\[
\text{nephew's age} = \frac{24}{3} = 8
\][/tex]
So, Jackson's nephew is 8 years old.
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