Yoko's uncle is 4 times as old as her. Yoko will be 11 years old in 5 years' time. In how many years' time will Yoko's age be 60% that of her uncle's?
| |
Yoko's uncle |
Yoko |
Difference |
Before
(now) |
4x2 =
8 u |
1x2 =
2 u |
3x2 =
6 u |
| Change 1 |
+ 5 |
+ 5 |
|
| After 1 |
|
11 |
|
| Change 2 |
+ ? |
+ ? |
|
| After 2 |
5x3 =
15 u |
3x3 =
9 u |
2x3 =
6 u |
60% =
60100 =
35 Yoko's uncle : Yoko = 5 : 3
The difference in age between Yoko's uncle and Yoko always remains the same. Make the difference in age between Yoko's uncle and Yoko the same. LCM of 3 and 2 is 6.
2 u + 5 = 11
2 u = 11 - 5
2 u = 6
1 u = 6 ÷ 2 = 3
Number of years' time when Yoko's age will be 60% that of her uncle's
= 15 u - 29
= 15 x 3 - 29
= 45 - 29
= 16
Answer(s): 16
