Question

When a number is added to 1/5 of itself, the result is 24. The equation that models this problem is n +1/5 n = 24. What is the value n? n = 18 n = 20 n = 214/5 n = 234/5

Answer 1

For this case we must find the value of n of the following equation:

$n + \frac {1} {5} n = 24$

Taking common factor "n" from the left side of the equation we have:

$n (1+ \frac {1} {5}) = 24\\n \frac {6} {5} = 24$

Multiplying by 5 on both sides of the equation:

$6n = 120$

Dividing between 6 on both sides of the equation:

$n = 20$

Thus, the value of n is 20.

Answer:

$n = 20$

Answer 2

Answer: Second Option

$n = 20$

Step-by-step explanation:

Let's call n the number searched.

Then one fifth of this number is written as

$\frac{1}{5}n$

Then at 1 / 5n the number n is added.

So, we have

$n + \frac{1}{5}n$

Now we know that the result of this sum is equal to 24. Then we write the equation:

$n + \frac{1}{5}n = 24$.

Now we solve the equation:

$\frac{6}{5}n = 24$

Muple both sides of equality by $\frac{5}{6}$

$\frac{5}{6} * \frac{6}{5}n = 24*\frac{5}{6}$

$n = 20$