Archie's age is a multiple of 6 this year. His age next year will be a multiple of 5. Archie is more than 50 years old. What is Archie's age this year?
Multiples of 6: 6, 12, 18, 24, 30, 36, 42, 48, 54
Multiples of 6 (+1): 7, 13, 19, 25, 31, 37, 43, 49, 55
Multiples of 5: 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55
Common number = 55
Archie's age this year
= 55 - 1
= 54
Answer(s): 54
