Answer:
24
Step-by-step explanation:
Let the number be x.
Sum of the number and 6: [tex]6+x[/tex]
Divide it by 3: [tex]\frac{6+x}{3}[/tex]
Result is 4 more than one quarter of the number:
[tex]\frac{6+x}{3} =4+\frac{1}{4} x[/tex]
Multiply both sides by 12:
[tex]\frac{6+x}{3}\cdot \:12=4\cdot \:12+\frac{1}{4}x\cdot \:12[/tex]
Simplify:
[tex]4\left(x+6\right)=48+3x[/tex]
Expand:
[tex]4x+24=48+3x[/tex]
Subtract 24 from both sides:
[tex]4x+24-24=48+3x-24[/tex]
[tex]4x=3x+24[/tex]
Subtract 3x from both sides:
[tex]4x-3x=3x+24-3x[/tex]
[tex]x=24[/tex]
The number is 24.
