Fleming Powers
03/29/2023 · Senior High School
8. Kim is 15 more than three times her nephew's age. If Kim is 36 , how old is her nephew?
UpStudy ThothAI Solution
Tutor-Verified Answer
Step-by-step Solution
Let \( n \) represent the age of Kim's nephew. According to the problem, Kim's age can be expressed as:
\[
\text{Kim's age} = 3n + 15
\]
We know that Kim is 36 years old, so we can set up the equation:
\[
3n + 15 = 36
\]
To solve for \( n \), first subtract 15 from both sides:
\[
3n = 36 - 15
\]
\[
3n = 21
\]
Next, divide both sides by 3:
\[
n = \frac{21}{3}
\]
\[
n = 7
\]
Therefore, Kim's nephew is \( \boxed{7} \) years old.
Quick Answer
Kim's nephew is 7 years old.
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