Sam is 35 years older than his child. 7 years from now, his child will be
12 of his age while his niece will be
35 of his child. Express his niece’s present age as a fraction of Sam's present age. Leave your answer in its simplest form.
| |
Sam |
Sam's child |
Sam's niece |
Difference between
Sam and Sam's child |
| Before |
10 u - 7 |
5 u - 7 |
3 u - 7 |
35 |
| Change |
+ 7 |
+ 7 |
+ 7 |
|
After
|
2x5 |
1x5 |
|
|
| |
5x1 |
3x1 |
|
Comparing Sam, his child and his niece
in the end |
10 u |
5 u |
3 u |
5 u |
The repeated identity is the age of Sam's child. LCM of 1 and 5 is 5.
The difference in age between Sam and Sam's child remains unchanged.
Difference in age between Sam and Sam's child
= 10 u - 5 u
= 5 u
5 u = 35
1 u = 35 ÷ 5 = 7
His niece's present age
= 3 u - 7
= 3 x 7 - 7
= 21 - 7
= 14
Sam's present age
= 10 u - 7
= 10 x 7 - 7
= 70 - 7
= 63
His niece's present age as a fraction of Sam's present age
=
1463=
29 Answer(s):
29 
