Answer:
The number is 75
Step-by-step explanation:
Let the number be x
A third of a number is written as
[tex] \frac{1}{3} x[/tex]
A third of a number minus 8 is written as
[tex] \frac{1}{3} x - 8[/tex]
The result is 17
We have
[tex] \frac{1}{3} x - 8 = 17[/tex]
Add 8 to both sides of the equation
That's
[tex] \frac{1}{3} x + 8 - 8 = 17 + 8 \\ \frac{1}{3} x = 25[/tex]
Multiply through by 3 to eliminate the fraction
That's
[tex]3 \times \frac{1}{3} x = 25 \times 3 \\ x = 2 5 \times 3 \\ x = 75[/tex]
The number is 75
Hope this helps you
