Mr Liam is 2 times as old as his nephew, Michael. 12 years ago, the ratio in the age of Mr Liam and Michael was 8 : 3. Find Michael's current age.
| |
Mr Liam |
Michael |
Difference |
| Before |
8x1 =
8 u |
3x1 =
3 u |
5x1 =
5 u |
| Change |
+ 12 |
+ 12 |
|
| After |
2x5 =
10 u |
1x5 =
5 u |
1x5 =
5 u |
The difference in the age of Mr Liam and Michael at first and in the end remains unchanged. Make the difference in age the same. LCM of 5 and 1 is 5.
The increase in the age of Mr Liam and Michael is the same.
Increase in Michael's age
= 5 u - 3 u
= 2 u
2 u = 12
1 u = 12 ÷ 2 = 6
Michael's current age
= 5 u
= 5 x 6
= 30
Answer(s): 30
