Brandon is
m years old. Peter is six times as old as Brandon and Valen is 10 years younger than Peter.
- Express Valen's age in terms of m.
- Brandon is 8 years old as of now. ln how many years' time will Valen be 3 times as old as Brandon?
(a)
Brandon's age =
m years
Peter's age = 6
m years
Valen's age = (6
m - 10) years
(b)
m = 8
Difference in age remains unchanged.
Difference in age between Valen and Brandon
= (6
m - 10) -
m = 6
m -
m - 10
= 5
m - 10
= 5 x 8 - 10
= 30 years
Difference in the age when Valen will be 3 times as old as Brandon
= 3 u - 1 u
= 2 u
2 u = 30
1 u = 30 ÷ 2 = 15
Number of years' time so Valen will be 3 times as old as Brandon
= 15 - 8
= 7 years
Answer(s): (a) (6
m - 10) years; (b) 7 years
