Respuesta :

1) 6 * 4 = 24 - a sum of four numbers
2) 24 - 17 = 7 - is the fourth number.

Answer: The fourth number is 7.

Step-by-step explanation:

Sum of three numbers = 17

So, it becomes

[tex]x_1+x_2+x_3=17[/tex]

Average of four numbers = 6

Since we know that formula for "Average":

[tex]Average=\dfrac{\sum x}{n}\\\\6=\dfrac{\sum x}{4}\\\\24=\sum x[/tex]

[tex]\sum x_i=24\\\\x_1+x_2+x_3+x_4=24\\\\17+x_4=24\\\\x_4=24-17\\\\x_4=7[/tex]

Hence, the fourth number is 7.