Alex is 4 years older than Damien.
Damien is half Kelli's age.
All their ages add up to 36.
What are their ages?
a = d+4
d = k/2, so k = 2d
a+d+k = 36
d+4 + d + 2d = 36
now it's easy to find d, and then a and k.
LOL this is a good problem lol
To find their ages, we can start by assigning variables to each person's age. Let's say Alex's age is a, Damien's age is d, and Kelli's age is k.
We know that Alex is 4 years older than Damien, so we can write the equation: a = d + 4.
We also know that Damien is half Kelli's age, so we can write the equation: d = 0.5k.
Finally, we are given that the sum of all their ages is 36, so we can write the equation: a + d + k = 36.
Now, we have a system of three equations:
1. a = d + 4,
2. d = 0.5k,
3. a + d + k = 36.
Using these equations, we can solve for their ages.
Substituting equation 2 into equation 1, we get:
a = 0.5k + 4.
Now, we can substitute equations 1 and 2 into equation 3:
(0.5k + 4) + (0.5k) + k = 36.
Combining like terms, we have:
2k + 4 = 36.
Subtracting 4 from both sides, we get:
2k = 32.
Dividing both sides by 2, we find:
k = 16.
Now, we can substitute k = 16 back into equation 2:
d = 0.5 * 16,
d = 8.
Finally, we can substitute k = 16 and d = 8 into equation 1:
a = 8 + 4,
a = 12.
Therefore, Alex is 12 years old, Damien is 8 years old, and Kelli is 16 years old.