Reggie's father is 4 times as old as him. His father will be 43 years old in 3 years' time. In how many years' time will Reggie's age be 60% that of his father's?
| |
Reggie's father |
Reggie |
Difference |
Before
(now) |
4x2 =
8 u |
1x2 =
2 u |
3x2 =
6 u |
| Change 1 |
+ 3 |
+ 3 |
|
| After 1 |
43 |
|
|
| Change 2 |
+ ? |
+ ? |
|
| After 2 |
5x3 =
15 u |
3x3 =
9 u |
2x3 =
6 u |
60% =
60100 =
35 Reggie's father : Reggie = 5 : 3
The difference in age between Reggie's father and Reggie always remains the same. Make the difference in age between Reggie's father and Reggie the same. LCM of 3 and 2 is 6.
8 u + 3 = 43
8 u = 43 - 3
8 u = 40
1 u = 40 ÷ 8 = 5
Number of years' time when Reggie's age will be 60% that of his father's
= 15 u - 43
= 15 x 5 - 43
= 75 - 43
= 32
Answer(s): 32
