Jeremy's auntie is 5 times as old as him. His auntie will be 32 years old in 7 years' time. In how many years' time will Jeremy's age be 60% that of his auntie's?
| |
Jeremy's auntie |
Jeremy |
Difference |
Before
(now) |
5x1 =
5 u |
1x1 =
1 u |
4x1 =
4 u |
| Change 1 |
+ 7 |
+ 7 |
|
| After 1 |
32 |
|
|
| Change 2 |
+ ? |
+ ? |
|
| After 2 |
5x2 =
10 u |
3x2 =
6 u |
2x2 =
4 u |
60% =
60100 =
35 Jeremy's auntie : Jeremy = 5 : 3
The difference in age between Jeremy's auntie and Jeremy always remains the same. Make the difference in age between Jeremy's auntie and Jeremy the same. LCM of 4 and 2 is 4.
5 u + 7 = 32
5 u = 32 - 7
5 u = 25
1 u = 25 ÷ 5 = 5
Number of years' time when Jeremy's age will be 60% that of his auntie's
= 10 u - 32
= 10 x 5 - 32
= 50 - 32
= 18
Answer(s): 18
