Mr Warren is 2 times as old as his nephew, Ben. 45 years ago, the ratio in the age of Mr Warren and Ben was 9 : 2. Find Ben's current age.
|
Mr Warren |
Ben |
Difference |
Before |
9x1 = 9 u |
2x1 = 2 u |
7x1 = 7 u |
Change |
+ 45 |
+ 45 |
|
After |
2x7 = 14 u |
1x7 = 7 u |
1x7 = 7 u |
The difference in the age of Mr Warren and Ben 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 Warren and Ben is the same.
Increase in Ben's age
= 7 u - 2 u
= 5 u
5 u = 45
1 u = 45 ÷ 5 = 9
Ben's current age
= 7 u
= 7 x 9
= 63
Answer(s): 63