Answer :

Let's denote the number as \( x \). According to the given statement:

"9 times a number is 7 less than 13 times the number"

Mathematically, this can be expressed as:

\[ 9x = 13x - 7 \]

To solve for \( x \), let's rearrange the equation:

\[ 9x - 13x = -7 \]

\[ -4x = -7 \]

Now, divide both sides by \(-4\) to isolate \(x\):

\[ x = \frac{-7}{-4} \]

\[ x = \frac{7}{4} \]

So, the number is \( \frac{7}{4} \), which is equivalent to \( 1.75 \).