Adam's age is a multiple of 8 this year.
His age next year will be multiple of 7.
Adam's age is between 40 and 50.
- 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 8 (between 40 and 50): 40, 48
Multiples of 8 (+1): 33, 41, 49
Multiples of 7: 42, 49
Adam's age next year: 49Adam's age this year: 48Multiples of 10: 30, 40, 50
Adam's age when it becomes a multiple of 10 = 50
Number of years' time when Adam's age will be a multiple of 10
= 50 - 48
= 2
(b)
Multiple of 9: 36, 45
Least number of years ago when Adam's age was a multiple of 9
= 48 - 45
= 3
Answer(s): (a) 2; (b) 3