Zane's father is 5 times as old as him. His father will be 49 years old in 4 years' time. In how many years' time will Zane's age be 60% that of his father's?
| |
Zane's father |
Zane |
Difference |
Before
(now) |
5x1 =
5 u |
1x1 =
1 u |
4x1 =
4 u |
| Change 1 |
+ 4 |
+ 4 |
|
| After 1 |
49 |
|
|
| Change 2 |
+ ? |
+ ? |
|
| After 2 |
5x2 =
10 u |
3x2 =
6 u |
2x2 =
4 u |
60% =
60100 =
35 Zane's father : Zane = 5 : 3
The difference in age between Zane's father and Zane always remains the same. Make the difference in age between Zane's father and Zane the same. LCM of 4 and 2 is 4.
5 u + 4 = 49
5 u = 49 - 4
5 u = 45
1 u = 45 ÷ 5 = 9
Number of years' time when Zane's age will be 60% that of his father's
= 10 u - 49
= 10 x 9 - 49
= 90 - 49
= 41
Answer(s): 41
