Owen's mother is 5 times as old as him. His mother will be 33 years old in 8 years' time. In how many years' time will Owen's age be 60% that of his mother's?
|
Owen's mother |
Owen |
Difference |
Before (now) |
5x1 = 5 u |
1x1 = 1 u |
4x1 = 4 u |
Change 1 |
+ 8 |
+ 8 |
|
After 1 |
33 |
|
|
Change 2 |
+ ? |
+ ? |
|
After 2 |
5x2 = 10 u |
3x2 = 6 u |
2x2 = 4 u |
60% =
60100 =
35 Owen's mother : Owen = 5 : 3
The difference in age between Owen's mother and Owen always remains the same. Make the difference in age between Owen's mother and Owen the same. LCM of 4 and 2 is 4.
5 u + 8 = 33
5 u = 33 - 8
5 u = 25
1 u = 25 ÷ 5 = 5
Number of years' time when Owen's age will be 60% that of his mother's
= 10 u - 33
= 10 x 5 - 33
= 50 - 33
= 17
Answer(s): 17