Adam's age is a multiple of 4 this year.
His age next year will be multiple of 3.
Adam's age is between 30 and 40.
- 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 5?
(a)
Multiples of 4 (between 30 and 40): 32, 36, 40
Multiples of 4 (+1): 21, 25, 29, 33, 37, 41
Multiples of 3: 30, 33, 36, 39
Adam's age next year: 33Adam's age this year: 32Multiples of 6: 24, 30, 36
Adam's age when it becomes a multiple of 6 = 36
Number of years' time when Adam's age will be a multiple of 6
= 36 - 32
= 4
(b)
Multiple of 5: 20, 25, 30
Least number of years ago when Adam's age was a multiple of 5
= 32 - 30
= 2
Answer(s): (a) 4; (b) 2