Final answer:
To find the sum of three times a number and -23 is 28, we set up an equation and solve for x. The number is 17.
Step-by-step explanation:
To find the sum of three times a number and -23 is 28, we can set up an equation. Let's use the variable 'x' to represent the number.
Three times the number can be written as 3x, and when we add -23, we get 3x - 23. This expression is equal to 28, so we can write the equation as:
3x - 23 = 28
To solve for x, we can isolate the variable by adding 23 to both sides:
3x - 23 + 23 = 28 + 23
Now simplify:
3x = 51
Finally, divide both sides by 3 to solve for x:
x = 17