Three years ago, Ian's age was 10% of Ahmad's age. Nineteen years from their current age, Ian's age will be 37.5% of Ahmad's age. How many years is Ahmad older than Ian?
| |
Ian |
Ahmad |
Difference |
| Before |
1x5 =
5 u |
10x5 =
50 u |
9x5 =
45 u |
| Change |
+ 3
+ 19 |
+ 3
+ 19 |
|
| After |
3x9 =
27 u |
8x9 =
72 u |
5x9 =
45 u |
10% =
10100 =
110 37.5% =
3751000 =
38The difference in the ages between Ian and Ahmad remains unchanged. Make the difference the same. LCM of 9 and 5 is 45.
Increase in Ian's age
= 27 u - 5 u
= 22 u
22 u = 3 + 19
22 u = 22
1 u = 22 ÷ 22 = 1
Number of years that Ahmad is older than Ian
= 50 u - 5 u
= 45 u
= 45 x 1
= 45
Answer(s): 45
