Question

Two less than the quotient of a number and 8 is 1/4.Find the number

Answer 1

For the given problem:

Let the number = x

Two less than the quotient of a number and 8 is 1/4

so, we can write the following expression:

$\frac{x}{8}-2=\frac{1}{4}$

Now, solve the equation to find (x)

Multiplying by (8) to eliminate the denominators:

$\begin{gathered} 8\cdot(\frac{x}{8}-2)=8\cdot\frac{1}{4} \\ \\ 8\cdot\frac{x}{8}-8\cdot2=\frac{8}{4} \\ x-16=2 \end{gathered}$

Add (6) to both sides:

$\begin{gathered} x-16+16=2+16 \\ x=18 \end{gathered}$

So, the answer will be the number is 18