Question

A number is divided by 3 and then 5 is subtracted from the quotient the result is 1. Whats the number?

Answer 1

ANSWER

The number is 18.

EXPLANATION

Let the number be x.

When this number is divided by 3, we obtain the quotient,

$\frac{x}{3}$

When 5 is subtracted from this quotient, we get,

$\frac{x}{3} - 5$

If the result is 1, then we have;

$\frac{x}{3} - 5 = 1$

We group similar terms to get,

$\frac{x}{3} = 1 + 5$

This gives us,

$\frac{x}{3} = 6$

Multiply both sides by 3.

$x = 6 \times 3$

$x = 18$

Therefore the number is 18.