The Johnson family has three sons: Billy, Tommy, and Bobby.
- Billy is as old as Tommy and Bobby together.
- Last year, Tommy was twice as old as Bobby was.
- In two years, Billy will be twice as old as Tommy is now.
How old is each son?
Answer (2)
Billy is 6 Tommy is 4 and Bobby is 2
Proof: I thought about this through what I think would be logical so I decided to use even numbers. If Billy is as old as Tommy and Bobby together and then 2 years later he will be twice as old as Tommy is now.
Therefore (I did a bit of guess and check) I decided Tommy must be 4 and Bobby must be 2, so Billy will be 6.
Then, 2 years later, Billy will be 8 and 8 is 2 times Tommy's age now.
Billy is 8 years old, Tommy is 5 years old, and Bobby is 3 years old. This is determined based on a system of equations derived from the information given about their ages. By solving these equations step by step, we find the ages of the Johnson brothers.
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