SOLUTION: Tom's Dad sowed some tomato seed in February. He gave Tom one of the tomato plants in a pot. At the beginning of May Tom put his tomato plant outside. On the same day he sowed a be

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Question 196552: Tom's Dad sowed some tomato seed in February. He gave Tom one of the tomato plants in a pot. At the beginning of May Tom put his tomato plant outside. On the same day he sowed a bean in another pot. Ten days later the bean plant was just 1 centimetre above the soil surface. Tom measured his tomato plant which was already 38 centimetres tall. Each evening Tom measured his two plants. On the evening of the next day the little bean plant had grown another 2 centimetres so it was 3 centimetres high. Each day it continued to grow double the amont it had grown the day before. The tomato plant grew at a steady 5 centimetres a day. After how many days were the two plants the same height when Tom measured them in the evening? How high were they?
Answer by ankor@dixie-net.com(22740) (Show Source):
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Ten days later the bean plant was just 1 centimetre above the soil surface. Tom measured his tomato plant which was already 38 centimetres tall. Each evening Tom measured his two plants. On the evening of the next day the little bean plant had grown another 2 centimetres so it was 3 centimetres high. Each day it continued to grow double the amount it had grown the day before. The tomato plant grew at a steady 5 centimetres a day. After how many days were the two plants the same height when Tom measured them in the evening? How high were they?
:
I can't seem to come with the an equation for this, but using the brute force method:
Day|bean|tom
0 | 1 | 38
1 | 3 | 42
2 | 7 | 48
3 |15 | 52
4 |31 | 58
5 |63 | 63, same on day 5