Zeph is
z years old. Ben is six times as old as Zeph and Glen is 12 years younger than Ben.
- Express Glen's age in terms of z.
- Zeph is 6 years old as of now. ln how many years' time will Glen be 3 times as old as Zeph?
(a)
Zeph's age =
z years
Ben's age = 6
z years
Glen's age = (6
z - 12) years
(b)
z = 6
Difference in age remains unchanged.
Difference in age between Glen and Zeph
= (6
z - 12) -
z = 6
z -
z - 12
= 5
z - 12
= 5 x 6 - 12
= 18 years
Difference in the age when Glen will be 3 times as old as Zeph
= 3 u - 1 u
= 2 u
2 u = 18
1 u = 18 ÷ 2 = 9
Number of years' time so Glen will be 3 times as old as Zeph
= 9 - 6
= 3 years
Answer(s): (a) (6
z - 12) years; (b) 3 years
