College

15 less than a number is 22. Which equation represents this statement, and what is the value of the number?

A. [tex]x - 15 = 22[/tex]; [tex]x = 37[/tex]
B. [tex]22 - 15 = x[/tex]; [tex]x = 7[/tex]
C. [tex]x - 15 = 22[/tex]; [tex]x = 7[/tex]
D. [tex]x + 15 = 22[/tex]; [tex]x = 37[/tex]

Answer :

We are given that "15 less than a number is 22." This means that if we let [tex]$x$[/tex] represent the number, the expression "15 less than a number" is written as:

[tex]$$
x - 15
$$[/tex]

Since this is equal to 22, we have the equation:

[tex]$$
x - 15 = 22
$$[/tex]

To find [tex]$x$[/tex], we add 15 to both sides of the equation:

[tex]$$
x - 15 + 15 = 22 + 15
$$[/tex]

This simplifies to:

[tex]$$
x = 37
$$[/tex]

Thus, the correct choice is:

A. [tex]$\; x-15=22$[/tex] and [tex]$\; x=37$[/tex].