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Answer :
To solve the problem of finding Nikki's age, let's break it down step by step:
1. Define Variables:
- Let [tex]\( n \)[/tex] represent Nikki's age.
- Since Nikki is 5 years older than Jamie, Jamie's age would be [tex]\( n - 5 \)[/tex].
2. Set Up the Equation:
- We know that the product of their ages is 126. So, we can write the equation based on this information:
[tex]\[
n \times (n - 5) = 126
\][/tex]
3. Simplify the Equation:
- Distribute [tex]\( n \)[/tex] to both terms inside the parenthesis:
[tex]\[
n^2 - 5n = 126
\][/tex]
4. Identify the Correct Equation:
- By comparing the simplified equation [tex]\( n^2 - 5n = 126 \)[/tex] with the options provided, we see that it matches Option D.
Thus, the equation that can be used to find Nikki's age is:
[tex]\[
\boxed{D \quad n^2 - 5n = 126}
\][/tex]
1. Define Variables:
- Let [tex]\( n \)[/tex] represent Nikki's age.
- Since Nikki is 5 years older than Jamie, Jamie's age would be [tex]\( n - 5 \)[/tex].
2. Set Up the Equation:
- We know that the product of their ages is 126. So, we can write the equation based on this information:
[tex]\[
n \times (n - 5) = 126
\][/tex]
3. Simplify the Equation:
- Distribute [tex]\( n \)[/tex] to both terms inside the parenthesis:
[tex]\[
n^2 - 5n = 126
\][/tex]
4. Identify the Correct Equation:
- By comparing the simplified equation [tex]\( n^2 - 5n = 126 \)[/tex] with the options provided, we see that it matches Option D.
Thus, the equation that can be used to find Nikki's age is:
[tex]\[
\boxed{D \quad n^2 - 5n = 126}
\][/tex]
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