Andy is
p years old. Owen is five times as old as Andy and Simon is 14 years younger than Owen.
- Express Simon's age in terms of p.
- Andy is 10 years old as of now. ln how many years' time will Simon be 3 times as old as Andy?
(a)
Andy's age =
p years
Owen's age = 5
p years
Simon's age = (5
p - 14) years
(b)
p = 10
Difference in age remains unchanged.
Difference in age between Simon and Andy
= (5
p - 14) -
p = 5
p -
p - 14
= 4
p - 14
= 4 x 10 - 14
= 26 years
Difference in the age when Simon will be 3 times as old as Andy
= 3 u - 1 u
= 2 u
2 u = 26
1 u = 26 ÷ 2 = 13
Number of years' time so Simon will be 3 times as old as Andy
= 13 - 10
= 3 years
Answer(s): (a) (5
p - 14) years; (b) 3 years
