John is
h years old. Ethan is six times as old as John and Valen is 6 years younger than Ethan.
- Express Valen's age in terms of h.
- John is 6 years old as of now. ln how many years' time will Valen be 3 times as old as John?
(a)
John's age =
h years
Ethan's age = 6
h years
Valen's age = (6
h - 6) years
(b)
h = 6
Difference in age remains unchanged.
Difference in age between Valen and John
= (6
h - 6) -
h = 6
h -
h - 6
= 5
h - 6
= 5 x 6 - 6
= 24 years
Difference in the age when Valen will be 3 times as old as John
= 3 u - 1 u
= 2 u
2 u = 24
1 u = 24 ÷ 2 = 12
Number of years' time so Valen will be 3 times as old as John
= 12 - 6
= 6 years
Answer(s): (a) (6
h - 6) years; (b) 6 years
