Archie's age is a multiple of 8 this year. His age next year will be a multiple of 7. Archie is more than 40 years old. What is Archie's age this year?
Multiples of 8: 8, 16, 24, 32, 40, 48
Multiples of 8 (+1): 9, 17, 25, 33, 41, 49
Multiples of 7: 7, 14, 21, 28, 35, 42, 49
Common number = 49
Archie's age this year
= 49 - 1
= 48
Answer(s): 48
