Adam's age is a multiple of 3 this year.
His age next year will be multiple of 8.
Adam's age is between 30 and 40.
- In how many years' time will Adam's age be a multiple of 9?
- How many years ago was Adam's age a multiple of 8?
(a)
Multiples of 3 (between 30 and 40): 30, 33, 36, 39
Multiples of 3 (+1): 22, 25, 28, 31, 34, 37, 40
Multiples of 8: 32, 40
Adam's age next year: 40Adam's age this year: 39Multiples of 9: 27, 36
Adam's age when it becomes a multiple of 9 = 45
Number of years' time when Adam's age will be a multiple of 9
= 45 - 39
= 6
(b)
Multiple of 8: 24, 32
Least number of years ago when Adam's age was a multiple of 8
= 39 - 32
= 7
Answer(s): (a) 6; (b) 7