Cole is
x years old. Xavier is five times as old as Cole and Ivan is 8 years younger than Xavier.
- Express Ivan's age in terms of x.
- Cole is 6 years old as of now. ln how many years' time will Ivan be 3 times as old as Cole?
(a)
Cole's age =
x years
Xavier's age = 5
x years
Ivan's age = (5
x - 8) years
(b)
x = 6
Difference in age remains unchanged.
Difference in age between Ivan and Cole
= (5
x - 8) -
x = 5
x -
x - 8
= 4
x - 8
= 4 x 6 - 8
= 16 years
Difference in the age when Ivan will be 3 times as old as Cole
= 3 u - 1 u
= 2 u
2 u = 16
1 u = 16 ÷ 2 = 8
Number of years' time so Ivan will be 3 times as old as Cole
= 8 - 6
= 2 years
Answer(s): (a) (5
x - 8) years; (b) 2 years
