Ivan's auntie is 4 times as old as him. His auntie will be 28 years old in 4 years' time. In how many years' time will Ivan's age be 60% that of his auntie's?
| |
Ivan's auntie |
Ivan |
Difference |
Before
(now) |
4x2 =
8 u |
1x2 =
2 u |
3x2 =
6 u |
| Change 1 |
+ 4 |
+ 4 |
|
| After 1 |
28 |
|
|
| Change 2 |
+ ? |
+ ? |
|
| After 2 |
5x3 =
15 u |
3x3 =
9 u |
2x3 =
6 u |
60% =
60100 =
35 Ivan's auntie : Ivan = 5 : 3
The difference in age between Ivan's auntie and Ivan always remains the same. Make the difference in age between Ivan's auntie and Ivan the same. LCM of 3 and 2 is 6.
8 u + 4 = 28
8 u = 28 - 4
8 u = 24
1 u = 24 ÷ 8 = 3
Number of years' time when Ivan's age will be 60% that of his auntie's
= 15 u - 28
= 15 x 3 - 28
= 45 - 28
= 17
Answer(s): 17
