Bill and Joan both work for a library. 5 years ago, Joan had 3 times as much experience as Bill. Now she has twice as much experience as Bill. How many years of experience does Bill have now? Let's think step by step and output the final answer after "####".
user
Let b be Bill's years of experience and j be Joan's years of experience. We know that j - 5 = 3(b - 5) and j = 2b.
Substituting the second equation into the first equation, we get 2b - 5 = 3(b - 5)
Multiplying through the parentheses, we get 2b - 5 = 3b - 15
Adding 15 to both sides, we get 2b + 10 = 3b
Subtracting 2b from both sides, we get 10 = b
#### 10
Bill and Joan both work for a library. 5 years ago, Joan had 3 times as much experience as Bill. Now she has twice as much experience as Bill. How many years of experience does Bill have now?
train