there are between 50 and 60 eggs in a basket. when abebe counts by 3's,there are 2 eggs left over. when he counts by 5's, there are 4 left over.

Question

how many eggs are there in the basket?

Answer 1

The fact that he counts by 3’s and has 2 left over tells me that the remainder is 2 when dividing the answer by 3.

Same goes for 4 left over when counting by 5’s.

Answer 2

so the possibilities are 54 and 59
Now divide those by 3 to see which works.