Daniel's uncle is 5 times as old as him. His uncle will be 44 years old in 9 years' time. In how many years' time will Daniel's age be 60% that of his uncle's?
| |
Daniel's uncle |
Daniel |
Difference |
Before
(now) |
5x1 =
5 u |
1x1 =
1 u |
4x1 =
4 u |
| Change 1 |
+ 9 |
+ 9 |
|
| After 1 |
44 |
|
|
| Change 2 |
+ ? |
+ ? |
|
| After 2 |
5x2 =
10 u |
3x2 =
6 u |
2x2 =
4 u |
60% =
60100 =
35 Daniel's uncle : Daniel = 5 : 3
The difference in age between Daniel's uncle and Daniel always remains the same. Make the difference in age between Daniel's uncle and Daniel the same. LCM of 4 and 2 is 4.
5 u + 9 = 44
5 u = 44 - 9
5 u = 35
1 u = 35 ÷ 5 = 7
Number of years' time when Daniel's age will be 60% that of his uncle's
= 10 u - 44
= 10 x 7 - 44
= 70 - 44
= 26
Answer(s): 26
