A farmer, after collecting the eggs from his hens in a basket, thinks: • If I pack them in dozens, I have 5 left over. • If I had one more, I could pack them exactly in boxes of 10. I almost have 100. How many eggs do you have?

Answer 1

If I pack them in dozens, I have 5 left over
---> 17, 29, 41, 53, 65, 77, 89
If I had one more, I could pack them exactly in boxes of 10
---> 9, 19, 29, 39, 49, 59, 69, 79, 89, 99

I see 2 different choices.