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

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

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

Multiplying by 5 on both sides of the equation:

Dividing between 6 on both sides of the equation:

Thus, the value of n is 20.

Second Option

Step-by-step explanation:

Let's call n the number searched.

Then one fifth of this number is written as

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

So, we have

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

.

Now we solve the equation:

Muple both sides of equality by