Vanessa's uncle is 4 times as old as her. Vanessa will be 14 years old in 2 years' time. In how many years' time will Vanessa's age be 60% that of her uncle's?
| |
Vanessa's uncle |
Vanessa |
Difference |
Before
(now) |
4x2 =
8 u |
1x2 =
2 u |
3x2 =
6 u |
| Change 1 |
+ 2 |
+ 2 |
|
| After 1 |
|
14 |
|
| Change 2 |
+ ? |
+ ? |
|
| After 2 |
5x3 =
15 u |
3x3 =
9 u |
2x3 =
6 u |
60% =
60100 =
35 Vanessa's uncle : Vanessa = 5 : 3
The difference in age between Vanessa's uncle and Vanessa always remains the same. Make the difference in age between Vanessa's uncle and Vanessa the same. LCM of 3 and 2 is 6.
2 u + 2 = 14
2 u = 14 - 2
2 u = 12
1 u = 12 ÷ 2 = 6
Number of years' time when Vanessa's age will be 60% that of her uncle's
= 15 u - 50
= 15 x 6 - 50
= 90 - 50
= 40
Answer(s): 40
