Tommy is 25 years older than his cousin. 2 years from now, his cousin will be
12 of his age while his daughter will be
25 of his cousin. Express his daughter’s present age as a fraction of Tommy's present age. Leave your answer in its simplest form.
|
Tommy |
Tommy's cousin |
Tommy's daughter |
Difference between Tommy and Tommy's cousin |
Before |
10 u - 2 |
5 u - 2 |
2 u - 2 |
25 |
Change |
+ 2 |
+ 2 |
+ 2 |
|
After
|
2x5 |
1x5 |
|
|
|
5x1 |
2x1 |
|
Comparing Tommy, his cousin and his daughter in the end |
10 u |
5 u |
2 u |
5 u |
The repeated identity is the age of Tommy's cousin. LCM of 1 and 5 is 5.
The difference in age between Tommy and Tommy's cousin remains unchanged.
Difference in age between Tommy and Tommy's cousin
= 10 u - 5 u
= 5 u
5 u = 25
1 u = 25 ÷ 5 = 5
His daughter's present age
= 2 u - 2
= 2 x 5 - 2
= 10 - 2
= 8
Tommy's present age
= 10 u - 2
= 10 x 5 - 2
= 50 - 2
= 48
His daughter's present age as a fraction of Tommy's present age
=
848=
16 Answer(s):
16