Simultaneous equation help

Here is the question:

I ate 4 plates of green bananas and bought 10 pounds of dried beans. My weight (including the beans) had increased by 10%. I quickly went on a diet and returned to my original weight. Next time I ate twice as many plates of bananas and bought 10 pounds of maize flour. I weighed myself (including flour) and found my weight had increased by 11%. What was my original weight?

This is what I have so far:

1.10x = x + a + 10

1.11x = x + 2a + 10

I'm unsure on how to proceed. I've tried lots of different ways but none of them make any sense.

Thanks for any help.