Owen's auntie is 4 times as old as him. His auntie will be 26 years old in 2 years' time. In how many years' time will Owen's age be 80% that of his auntie's?
| |
Owen's auntie |
Owen |
Difference |
Before
(now) |
4x1 =
4 u |
1x1 =
1 u |
3x1 =
3 u |
| Change 1 |
+ 2 |
+ 2 |
|
| After 1 |
26 |
|
|
| Change 2 |
+ ? |
+ ? |
|
| After 2 |
5x3 =
15 u |
4x3 =
12 u |
1x3 =
3 u |
80% =
80100 =
45 Owen's auntie : Owen = 5 : 4
The difference in age between Owen's auntie and Owen always remains the same. Make the difference in age between Owen's auntie and Owen the same. LCM of 3 and 1 is 3.
4 u + 2 = 26
4 u = 26 - 2
4 u = 24
1 u = 24 ÷ 4 = 6
Number of years' time when Owen's age will be 80% that of his auntie's
= 15 u - 26
= 15 x 6 - 26
= 90 - 26
= 64
Answer(s): 64
