Adam's age is a multiple of 4 this year.
His age next year will be multiple of 3.
Adam's age is between 50 and 60.
- In how many years' time will Adam's age be a multiple of 10?
- How many years ago was Adam's age a multiple of 9?
(a)
Multiples of 4 (between 50 and 60): 52, 56, 60
Multiples of 4 (+1): 41, 45, 49, 53, 57, 61
Multiples of 3: 51, 54, 57, 60
Adam's age next year: 57Adam's age this year: 56Multiples of 10: 40, 50, 60
Adam's age when it becomes a multiple of 10 = 60
Number of years' time when Adam's age will be a multiple of 10
= 60 - 56
= 4
(b)
Multiple of 9: 45, 54
Least number of years ago when Adam's age was a multiple of 9
= 56 - 54
= 2
Answer(s): (a) 4; (b) 2