Mr Japheth is 2 times as old as his nephew, Ethan. 24 years ago, the ratio in the age of Mr Japheth and Ethan was 7 : 2. Find Mr Japheth's current age.
| |
Mr Japheth |
Ethan |
Difference |
| Before |
7x1 =
7 u |
2x1 =
2 u |
5x1 =
5 u |
| Change |
+ 24 |
+ 24 |
|
| After |
2x5 =
10 u |
1x5 =
5 u |
1x5 =
5 u |
The difference in the age of Mr Japheth and Ethan 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 Japheth and Ethan is the same.
Increase in Ethan's age
= 5 u - 2 u
= 3 u
3 u = 24
1 u = 24 ÷ 3 = 8
Mr Japheth's current age
= 10 u
= 10 x 8
= 80
Answer(s): 80
