Raeann's father is 6 times as old as her. Raeann will be 16 years old in 10 years' time. In how many years' time will Raeann's age be 60% that of her father's?
| |
Raeann's father |
Raeann |
Difference |
Before
(now) |
6x2 =
12 u |
1x2 =
2 u |
5x2 =
10 u |
| Change 1 |
+ 10 |
+ 10 |
|
| After 1 |
|
16 |
|
| Change 2 |
+ ? |
+ ? |
|
| After 2 |
5x5 =
25 u |
3x5 =
15 u |
2x5 =
10 u |
60% =
60100 =
35 Raeann's father : Raeann = 5 : 3
The difference in age between Raeann's father and Raeann always remains the same. Make the difference in age between Raeann's father and Raeann the same. LCM of 5 and 2 is 10.
2 u + 10 = 16
2 u = 16 - 10
2 u = 6
1 u = 6 ÷ 2 = 3
Number of years' time when Raeann's age will be 60% that of her father's
= 25 u - 46
= 25 x 3 - 46
= 75 - 46
= 29
Answer(s): 29
