Jeremy's uncle is 4 times as old as him. His uncle will be 33 years old in 5 years' time. In how many years' time will Jeremy's age be 75% that of his uncle's?
| |
Jeremy's uncle |
Jeremy |
Difference |
Before
(now) |
4x1 =
4 u |
1x1 =
1 u |
3x1 =
3 u |
| Change 1 |
+ 5 |
+ 5 |
|
| After 1 |
33 |
|
|
| Change 2 |
+ ? |
+ ? |
|
| After 2 |
4x3 =
12 u |
3x3 =
9 u |
1x3 =
3 u |
75% =
75100 =
34 Jeremy's uncle : Jeremy = 4 : 3
The difference in age between Jeremy's uncle and Jeremy always remains the same. Make the difference in age between Jeremy's uncle and Jeremy the same. LCM of 3 and 1 is 3.
4 u + 5 = 33
4 u = 33 - 5
4 u = 28
1 u = 28 ÷ 4 = 7
Number of years' time when Jeremy's age will be 75% that of his uncle's
= 12 u - 33
= 12 x 7 - 33
= 84 - 33
= 51
Answer(s): 51
