SOLUTION: Zeus and Leto have a son named Apollo. Zeus is five years older than twice his son’s age and Leto’s age is the sum of Apollo’s age and one-third of Zeus’ age. If the sum of all the

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Question 1053598: Zeus and Leto have a son named Apollo. Zeus is five years older than twice his son’s age and Leto’s age is the sum of Apollo’s age and one-third of Zeus’ age. If the sum of all their ages is 100, find each of their ages.
The best I've come up with is Zeus = 2(Apollo) + 5

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Use variables not names.
1.Z=2A%2B5
2.L=A%2BZ%2F3
3.Z%2BL%2BA=100
Substituting 1 and 2 into eq. 3,
2A%2B5%2BA%2B%282A%2B5%29%2F3%2BA=100
Multiply both sides by 3,
6A%2B15%2B3A%2B2A%2B5%2B3A=300
14A=280
A=20
Now use equations 1 and 3 to solve for Z and L.