Kathy has more than 50 but less than 60 lollipops. If she puts them equally into bags of 9, she would be short of 6 lollipops. If she puts them equally into bags of 6, she would have 3 extra lollipops. How many lollipops does Kathy have?
Multiples of 9: 36, 45, 54, 63
Multiples of 9 (-6): 30, 39, 48, 57
Multiples of 6: 36, 42, 48, 54, 60, 66
Multiples of 6 (+3): 39, 45, 51, 57, 63, 69
Common number more than 50 but less than 60: 57
Number of lollipops that Kathy has = 57
Answer(s): 57