Pamela's uncle is 6 times as old as her. Pamela will be 12 years old in 6 years' time. In how many years' time will Pamela's age be 60% that of her uncle's?
| |
Pamela's uncle |
Pamela |
Difference |
Before
(now) |
6x2 =
12 u |
1x2 =
2 u |
5x2 =
10 u |
| Change 1 |
+ 6 |
+ 6 |
|
| After 1 |
|
12 |
|
| Change 2 |
+ ? |
+ ? |
|
| After 2 |
5x5 =
25 u |
3x5 =
15 u |
2x5 =
10 u |
60% =
60100 =
35 Pamela's uncle : Pamela = 5 : 3
The difference in age between Pamela's uncle and Pamela always remains the same. Make the difference in age between Pamela's uncle and Pamela the same. LCM of 5 and 2 is 10.
2 u + 6 = 12
2 u = 12 - 6
2 u = 6
1 u = 6 ÷ 2 = 3
Number of years' time when Pamela's age will be 60% that of her uncle's
= 25 u - 42
= 25 x 3 - 42
= 75 - 42
= 33
Answer(s): 33
