Zane is 40 years older than his child. 2 years from now, his child will be
12 of his age while his niece will be
38 of his child. Express his niece’s present age as a fraction of Zane's present age. Leave your answer in its simplest form.
| |
Zane |
Zane's child |
Zane's niece |
Difference between
Zane and Zane's child |
| Before |
16 u - 2 |
8 u - 2 |
3 u - 2 |
40 |
| Change |
+ 2 |
+ 2 |
+ 2 |
|
After
|
2x8 |
1x8 |
|
|
| |
8x1 |
3x1 |
|
Comparing Zane, his child and his niece
in the end |
16 u |
8 u |
3 u |
8 u |
The repeated identity is the age of Zane's child. LCM of 1 and 8 is 8.
The difference in age between Zane and Zane's child remains unchanged.
Difference in age between Zane and Zane's child
= 16 u - 8 u
= 8 u
8 u = 40
1 u = 40 ÷ 8 = 5
His niece's present age
= 3 u - 2
= 3 x 5 - 2
= 15 - 2
= 13
Zane's present age
= 16 u - 2
= 16 x 5 - 2
= 80 - 2
= 78
His niece's present age as a fraction of Zane's present age
=
1378=
16 Answer(s):
16 
