Shannon's auntie is 4 times as old as her. Shannon will be 17 years old in 11 years' time. In how many years' time will Shannon's age be 60% that of her auntie's?
| |
Shannon's auntie |
Shannon |
Difference |
Before
(now) |
4x2 =
8 u |
1x2 =
2 u |
3x2 =
6 u |
| Change 1 |
+ 11 |
+ 11 |
|
| After 1 |
|
17 |
|
| Change 2 |
+ ? |
+ ? |
|
| After 2 |
5x3 =
15 u |
3x3 =
9 u |
2x3 =
6 u |
60% =
60100 =
35 Shannon's auntie : Shannon = 5 : 3
The difference in age between Shannon's auntie and Shannon always remains the same. Make the difference in age between Shannon's auntie and Shannon the same. LCM of 3 and 2 is 6.
2 u + 11 = 17
2 u = 17 - 11
2 u = 6
1 u = 6 ÷ 2 = 3
Number of years' time when Shannon's age will be 60% that of her auntie's
= 15 u - 35
= 15 x 3 - 35
= 45 - 35
= 10
Answer(s): 10
