Oliver's uncle is 5 times as old as him. His uncle will be 33 years old in 3 years' time. In how many years' time will Oliver's age be 60% that of his uncle's?
| |
Oliver's uncle |
Oliver |
Difference |
Before
(now) |
5x1 =
5 u |
1x1 =
1 u |
4x1 =
4 u |
| Change 1 |
+ 3 |
+ 3 |
|
| After 1 |
33 |
|
|
| Change 2 |
+ ? |
+ ? |
|
| After 2 |
5x2 =
10 u |
3x2 =
6 u |
2x2 =
4 u |
60% =
60100 =
35 Oliver's uncle : Oliver = 5 : 3
The difference in age between Oliver's uncle and Oliver always remains the same. Make the difference in age between Oliver's uncle and Oliver the same. LCM of 4 and 2 is 4.
5 u + 3 = 33
5 u = 33 - 3
5 u = 30
1 u = 30 ÷ 5 = 6
Number of years' time when Oliver's age will be 60% that of his uncle's
= 10 u - 33
= 10 x 6 - 33
= 60 - 33
= 27
Answer(s): 27
