Sam is 20 years older than his daughter. 2 years from now, his daughter will be
12 of his age while his nephew will be
35 of his daughter. Express his nephew’s present age as a fraction of Sam's present age. Leave your answer in its simplest form.
|
Sam |
Sam's daughter |
Sam's nephew |
Difference between Sam and Sam's daughter |
Before |
10 u - 2 |
5 u - 2 |
3 u - 2 |
20 |
Change |
+ 2 |
+ 2 |
+ 2 |
|
After
|
2x5 |
1x5 |
|
|
|
5x1 |
3x1 |
|
Comparing Sam, his daughter and his nephew in the end |
10 u |
5 u |
3 u |
5 u |
The repeated identity is the age of Sam's daughter. LCM of 1 and 5 is 5.
The difference in age between Sam and Sam's daughter remains unchanged.
Difference in age between Sam and Sam's daughter
= 10 u - 5 u
= 5 u
5 u = 20
1 u = 20 ÷ 5 = 4
His nephew's present age
= 3 u - 2
= 3 x 4 - 2
= 12 - 2
= 10
Sam's present age
= 10 u - 2
= 10 x 4 - 2
= 40 - 2
= 38
His nephew's present age as a fraction of Sam's present age
=
1038=
519 Answer(s):
519