The sum of [tex]\( n \)[/tex] and the product of 5 times [tex]\( n \)[/tex] is 24. What is the value of [tex]\( n \)[/tex]?

A. 4
B. [tex]\( \frac{4}{5} \)[/tex]
C. 6
D. 19



Answer :

To solve this problem, follow these detailed steps:

1. Define the variable [tex]\( n \)[/tex]. This is the unknown value we need to find.

2. According to the problem, the sum of [tex]\( n \)[/tex] and 5 times [tex]\( n \)[/tex] is 24. We can write this as an equation:
[tex]\[ n + 5n = 24 \][/tex]

3. Combine like terms on the left-hand side of the equation:
[tex]\[ 6n = 24 \][/tex]

4. To isolate [tex]\( n \)[/tex], divide both sides of the equation by 6:
[tex]\[ n = \frac{24}{6} \][/tex]

5. Simplify the fraction on the right-hand side:
[tex]\[ n = 4 \][/tex]

Therefore, the value of [tex]\( n \)[/tex] is [tex]\( 4 \)[/tex].

Among the given answer choices:
- [tex]\( 4 \)[/tex] is correct.
- [tex]\( 4 \frac{4}{5} \)[/tex] (which is [tex]\( 4.8 \)[/tex]) is incorrect.
- [tex]\( 6 \)[/tex] is incorrect.
- [tex]\( 19 \)[/tex] is incorrect.

So, the correct value of [tex]\( n \)[/tex] is [tex]\( 4 \)[/tex].