Question

When a number is added to 1/5 of itself, the result is 24. The equation that models this problem is n + 1/5n = 24. What is the value n?n = 18n = 20n = 21 4/5n = 23 4/5

Answer 1

The answer is 20 since 1/5 of 20 is 4, and 20 + 4 = 24.

Answer 2

Answer:  The correct option is (B) n = 20.

Step-by-step explanation:  Given that when a number is added to 1/5 of itself, the result is 24. The equation that models this problem is given by

$n+\dfrac{1}{5}n=24~~~~~~~~~~~~~~~~~~~~~~~~(i)$

We are to find the value of n.

Solving equation (i), we have

$n+\dfrac{1}{5}n=24\\\\\\\Rightarrow \dfrac{5n+n}{5}=24\\\\\Rightarrow 6n=5\times24\\\\\Rightarrow n=\dfrac{5\times24}{6}\\\\\Rightarrow n=20.$

Thus, the required value of n is 20.

Option (B) is CORRECT.