Julie's uncle is 5 times as old as her. Julie will be 17 years old in 11 years' time. In how many years' time will Julie's age be 70% that of her uncle's?
| |
Julie's uncle |
Julie |
Difference |
Before
(now) |
5x3 =
15 u |
1x3 =
3 u |
4x3 =
12 u |
| Change 1 |
+ 11 |
+ 11 |
|
| After 1 |
|
17 |
|
| Change 2 |
+ ? |
+ ? |
|
| After 2 |
10x4 =
40 u |
7x4 =
28 u |
3x4 =
12 u |
70% =
70100 =
710 Julie's uncle : Julie = 10 : 7
The difference in age between Julie's uncle and Julie always remains the same. Make the difference in age between Julie's uncle and Julie the same. LCM of 4 and 3 is 12.
3 u + 11 = 17
3 u = 17 - 11
3 u = 6
1 u = 6 ÷ 3 = 2
Number of years' time when Julie's age will be 70% that of her uncle's
= 40 u - 41
= 40 x 2 - 41
= 80 - 41
= 39
Answer(s): 39
