Kendra is half as old as Morgan and 3 years younger than Lizzie. The total of their ages is 39. How

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Kendra is half as old as Morgan and 3 years younger than Lizzie. The total of their ages is 39. How old are they?

Let k be Kendra's age, m be Morgan's age, and l be Lizzie's age. We're given:

1. k = 0.5m
2. k = l - 3
3. k + l + m = 39

Rearranging (1) by multiplying each side by 2, we have:
m = 2k

Rearranging (2) by adding 3 to each side, we have:
l = k + 3

Substituting these new values into (3), we have:
k + (k + 3) + (2k) = 39

Group like terms:
(k + k + 2k) + 3 = 39
4k + 3 = 39

Type this equation into the search engine, and we get:
k = 9

Substitute this back into (1), we have:
m = 2(9)
m = 18

Substitute this back into (2), we have:
l = (9) + 3
l = 12