Mr Nick is 2 times as old as his son, Archie. 27 years ago, the ratio in the age of Mr Nick and Archie was 7 : 2. Find Mr Nick's current age.
| |
Mr Nick |
Archie |
Difference |
| Before |
7x1 =
7 u |
2x1 =
2 u |
5x1 =
5 u |
| Change |
+ 27 |
+ 27 |
|
| After |
2x5 =
10 u |
1x5 =
5 u |
1x5 =
5 u |
The difference in the age of Mr Nick and Archie 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 Nick and Archie is the same.
Increase in Archie's age
= 5 u - 2 u
= 3 u
3 u = 27
1 u = 27 ÷ 3 = 9
Mr Nick's current age
= 10 u
= 10 x 9
= 90
Answer(s): 90
