Chandra ---- x years
Ben's age ---- x+6 yrs
Ali's age ---- x+6 + 3 = x+9 yrs
(x + x+6 + x+9)/3 = 10
solve for x, then back-sustitute.
Ben's age ---- x+6 yrs
Ali's age ---- x+6 + 3 = x+9 yrs
(x + x+6 + x+9)/3 = 10
solve for x, then back-sustitute.
1. We are given that the average age of Ali, Ben, and Chandra is 10 years. This means that if we add their ages together and divide by 3, we will get 10.
Average age = (Ali's age + Ben's age + Chandra's age) / 3 = 10
2. We are told that Ali is 3 years older than Ben.
Ali's age = Ben's age + 3
3. We are also told that Ben is 6 years older than Chandra.
Ben's age = Chandra's age + 6
Now, let's substitute these equations into the average age equation and solve for Chandra's age:
(Chandra's age + 3 + Chandra's age + 6 + Chandra's age) / 3 = 10
Simplifying the equation:
(3 + Chandra's age + 6 + Chandra's age + Chandra's age) / 3 = 10
(3 + 3Chandra's age + 6) / 3 = 10
(9 + 3Chandra's age) / 3 = 10
9 + 3Chandra's age = 30
3Chandra's age = 30 - 9
3Chandra's age = 21
Chandra's age = 21 / 3
Chandra's age = 7
So, Chandra is 7 years old.