Mr George is 2 times as old as his cousin, Ivan. 24 years ago, the ratio in the age of Mr George and Ivan was 10 : 3. Find Mr George's current age.
|
Mr George |
Ivan |
Difference |
Before |
10x1 = 10 u |
3x1 = 3 u |
7x1 = 7 u |
Change |
+ 24 |
+ 24 |
|
After |
2x7 = 14 u |
1x7 = 7 u |
1x7 = 7 u |
The difference in the age of Mr George and Ivan at first and in the end remains unchanged. Make the difference in age the same. LCM of 7 and 1 is 7.
The increase in the age of Mr George and Ivan is the same.
Increase in Ivan's age
= 7 u - 3 u
= 4 u
4 u = 24
1 u = 24 ÷ 4 = 6
Mr George's current age
= 14 u
= 14 x 6
= 84
Answer(s): 84