The average age of Ava Aiden and Charlie is eight years. Twice the sum of the ages of Ava and Charlie equals 24 years. What is the age of Aiden

Answer:12

Step-by-step explanation:

Let the age of Ava be x, the age of Aiden be y and the age of Charlie be z.

Average of their age implies : x + y + z / 3 = 8

multiplying through by 3, we have:

x + y + z = 24 ... equation 1

Also, twice the sum of ages of Ava and Charlie implies

2 (x + z) = 24

dividing through by 2, we have

x + z = 12 ... equation 2

substituting equation 2 into equation 1, we have

12 + y = 24

y = 24 - 12

y = 12

Since y represents Aiden's age, this means that Aiden is 12

12 because 2 times the sum of two variables equaling 24 means the two variables are 6 and therefore, through trial and error, you can find that 12+12=24 and 24 divided by 3 is 8.