Answer:
The number is [tex]14[/tex]
Step-by-step explanation:
Denote the original number by z. The expression "Four less than nine times a number is one hundred twenty-two" can be rewritten in an equation.
Our number is z, then the left hand side of the equation is 9z-4.
The right side of the equation is 122. Then the complete equation is [tex]9z-4=122[/tex]. Add 4 in both sides to get [tex]9z=122+4=126[/tex]. Now, divide by 9 in both sides to get [tex]z=\frac{126}{9}=14[/tex]