Howard is
j years old. Ivan is six times as old as Howard and Ryan is 9 years younger than Ivan.
- Express Ryan's age in terms of j.
- Howard is 5 years old as of now. ln how many years' time will Ryan be 3 times as old as Howard?
(a)
Howard's age =
j years
Ivan's age = 6
j years
Ryan's age = (6
j - 9) years
(b)
j = 5
Difference in age remains unchanged.
Difference in age between Ryan and Howard
= (6
j - 9) -
j = 6
j -
j - 9
= 5
j - 9
= 5 x 5 - 9
= 16 years
Difference in the age when Ryan will be 3 times as old as Howard
= 3 u - 1 u
= 2 u
2 u = 16
1 u = 16 ÷ 2 = 8
Number of years' time so Ryan will be 3 times as old as Howard
= 8 - 5
= 3 years
Answer(s): (a) (6
j - 9) years; (b) 3 years
