Mr Jeremy is 2 times as old as his nephew, Japheth. 12 years ago, the ratio in the age of Mr Jeremy and Japheth was 8 : 3. Find Mr Jeremy's current age.
|
Mr Jeremy |
Japheth |
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 Jeremy and Japheth 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 Jeremy and Japheth is the same.
Increase in Japheth's age
= 5 u - 3 u
= 2 u
2 u = 12
1 u = 12 ÷ 2 = 6
Mr Jeremy's current age
= 10 u
= 10 x 6
= 60
Answer(s): 60