Adam's age is a multiple of 3 this year.
His age next year will be multiple of 4.
Adam's age is between 20 and 30.
- In how many years' time will Adam's age be a multiple of 6?
- How many years ago was Adam's age a multiple of 8?
(a)
Multiples of 3 (between 20 and 30): 21, 24, 27, 30
Multiples of 3 (+1): 13, 16, 19, 22, 25, 28, 31
Multiples of 4: 20, 24, 28
Adam's age next year: 28Adam's age this year: 27Multiples of 6: 12, 18, 24, 30
Adam's age when it becomes a multiple of 6 = 30
Number of years' time when Adam's age will be a multiple of 6
= 30 - 27
= 3
(b)
Multiple of 8: 16, 24
Least number of years ago when Adam's age was a multiple of 8
= 27 - 24
= 3
Answer(s): (a) 3; (b) 3