Tommy's uncle is 5 times as old as him. His uncle will be 36 years old in 11 years' time. In how many years' time will Tommy's age be 60% that of his uncle's?
|
Tommy's uncle |
Tommy |
Difference |
Before (now) |
5x1 = 5 u |
1x1 = 1 u |
4x1 = 4 u |
Change 1 |
+ 11 |
+ 11 |
|
After 1 |
36 |
|
|
Change 2 |
+ ? |
+ ? |
|
After 2 |
5x2 = 10 u |
3x2 = 6 u |
2x2 = 4 u |
60% =
60100 =
35 Tommy's uncle : Tommy = 5 : 3
The difference in age between Tommy's uncle and Tommy always remains the same. Make the difference in age between Tommy's uncle and Tommy the same. LCM of 4 and 2 is 4.
5 u + 11 = 36
5 u = 36 - 11
5 u = 25
1 u = 25 ÷ 5 = 5
Number of years' time when Tommy's age will be 60% that of his uncle's
= 10 u - 36
= 10 x 5 - 36
= 50 - 36
= 14
Answer(s): 14