Adam's age is a multiple of 7 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 8?
- How many years ago was Adam's age a multiple of 8?
(a)
Multiples of 7 (between 30 and 40): 35
Multiples of 7 (+1): 22, 29, 36
Multiples of 3: 30, 33, 36, 39
Adam's age next year: 36Adam's age this year: 35Multiples of 8: 24, 32, 40
Adam's age when it becomes a multiple of 8 = 40
Number of years' time when Adam's age will be a multiple of 8
= 40 - 35
= 5
(b)
Multiple of 8: 24, 32
Least number of years ago when Adam's age was a multiple of 8
= 35 - 32
= 3
Answer(s): (a) 5; (b) 3