Cole is
k years old. Brandon is five times as old as Cole and Michael is 4 years younger than Brandon.
- Express Michael's age in terms of k.
- Cole is 6 years old as of now. ln how many years' time will Michael be 3 times as old as Cole?
(a)
Cole's age =
k years
Brandon's age = 5
k years
Michael's age = (5
k - 4) years
(b)
k = 6
Difference in age remains unchanged.
Difference in age between Michael and Cole
= (5
k - 4) -
k = 5
k -
k - 4
= 4
k - 4
= 4 x 6 - 4
= 20 years
Difference in the age when Michael will be 3 times as old as Cole
= 3 u - 1 u
= 2 u
2 u = 20
1 u = 20 ÷ 2 = 10
Number of years' time so Michael will be 3 times as old as Cole
= 10 - 6
= 4 years
Answer(s): (a) (5
k - 4) years; (b) 4 years
