Albert is 20 years older than his niece. 8 years from now, his niece will be
12 of his age while his child will be
12 of his niece. Express his child’s present age as a fraction of Albert's present age. Leave your answer in its simplest form.
|
Albert |
Albert's niece |
Albert's child |
Difference between Albert and Albert's niece |
Before |
4 u - 8 |
2 u - 8 |
1 u - 8 |
20 |
Change |
+ 8 |
+ 8 |
+ 8 |
|
After
|
2x2 |
1x2 |
|
|
|
2x1 |
1x1 |
|
Comparing Albert, his niece and his child in the end |
4 u |
2 u |
1 u |
2 u |
The repeated identity is the age of Albert's niece. LCM of 1 and 2 is 2.
The difference in age between Albert and Albert's niece remains unchanged.
Difference in age between Albert and Albert's niece
= 4 u - 2 u
= 2 u
2 u = 20
1 u = 20 ÷ 2 = 10
His child's present age
= 1 u - 8
= 1 x 10 - 8
= 10 - 8
= 2
Albert's present age
= 4 u - 8
= 4 x 10 - 8
= 40 - 8
= 32
His child's present age as a fraction of Albert's present age
=
232=
116 Answer(s):
116