SOLUTION: Alice is 8 years older than bob Three years from now Alice will be twice as old as bobs current age How old are Alice and bob

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Question 950742: Alice is 8 years older than bob
Three years from now Alice will be twice as old as bobs current age
How old are Alice and bob
Answer by erica65404(394) About Me  (Show Source):
You can put this solution on YOUR website!
A = Alice's age B = Bob's age

Start out by writing 2 equations that match the information given.

Alice's age = Bob's age + 8 years
A=8%2BB

Bob's age times 2 = Alice's age in 3 years
Alice's age in 3 years is the same as her age + 3 years
2B=A%2B3

Plug The first equation into the second equation using the substitution method.
A=8%2BB plug in 8%2BB into the second equation where there is an A.

2B=A%2B3
2B=%288%2BB%29%2B3

solve for B

2B=B%2B11
B=11

Bob's current age is 11.