Jane has more than 50 but less than 60 sweets. If she puts them equally into bags of 5, she would be short of 3 sweets. If she puts them equally into bags of 6, she would have 3 extra sweets. How many sweets does Jane have?
Multiples of 5: 40, 45, 50, 55, 60, 65
Multiples of 5 (-3): 37, 42, 47, 52, 57, 62
Multiples of 6: 42, 48, 54, 60, 66
Multiples of 6 (+3): 45, 51, 57, 63, 69
Common number more than 50 but less than 60: 57
Number of sweets that Jane has = 57
Answer(s): 57