Answer: The number is 8
Step-by-step explanation:
Let be "x" the certain number. Then "3 times a certain number" means that the number "x" is multiplied by 3. This is:
[tex](3)(x)=3x[/tex]
Now, "3 times a certain number is increased by 4" means that the we must add 4 to [tex]3x[/tex], in other words, this indicate an addition:
[tex]3x+4[/tex]
And finally "3 times a certain number is increased by 4 the result is 28" means that [tex]3x+4[/tex] is equal to 28. Then the expression is:
[tex]3x+4=28[/tex]
To find the number "x", subtract 4 from both sides of the equation:
[tex]3x+4-4=28-4[/tex]
[tex]3x=24[/tex]
Dividing both sides of the equation by 3, you get that the number is:
[tex]\frac{3x}{3}=\frac{24}{3}\\\\x=8[/tex]
