Glen's auntie is 7 times as old as him. His auntie will be 43 years old in 8 years' time. In how many years' time will Glen's age be 60% that of his auntie's?
| |
Glen's auntie |
Glen |
Difference |
Before
(now) |
7x1 =
7 u |
1x1 =
1 u |
6x1 =
6 u |
| Change 1 |
+ 8 |
+ 8 |
|
| After 1 |
43 |
|
|
| Change 2 |
+ ? |
+ ? |
|
| After 2 |
5x3 =
15 u |
3x3 =
9 u |
2x3 =
6 u |
60% =
60100 =
35 Glen's auntie : Glen = 5 : 3
The difference in age between Glen's auntie and Glen always remains the same. Make the difference in age between Glen's auntie and Glen the same. LCM of 6 and 2 is 6.
7 u + 8 = 43
7 u = 43 - 8
7 u = 35
1 u = 35 ÷ 7 = 5
Number of years' time when Glen's age will be 60% that of his auntie's
= 15 u - 43
= 15 x 5 - 43
= 75 - 43
= 32
Answer(s): 32
