Rael is 24 years older than his son. 2 years from now, his son will be
13 of his age while his niece will be
12 of his son. Express his niece’s present age as a fraction of Rael's present age. Leave your answer in its simplest form.
| |
Rael |
Rael's son |
Rael's niece |
Difference between
Rael and Rael's son |
| Before |
6 u - 2 |
2 u - 2 |
1 u - 2 |
24 |
| Change |
+ 2 |
+ 2 |
+ 2 |
|
After
|
3x2 |
1x2 |
|
|
| |
2x1 |
1x1 |
|
Comparing Rael, his son and his niece
in the end |
6 u |
2 u |
1 u |
4 u |
The repeated identity is the age of Rael's son. LCM of 1 and 2 is 2.
The difference in age between Rael and Rael's son remains unchanged.
Difference in age between Rael and Rael's son
= 6 u - 2 u
= 4 u
4 u = 24
1 u = 24 ÷ 4 = 6
His niece's present age
= 1 u - 2
= 1 x 6 - 2
= 6 - 2
= 4
Rael's present age
= 6 u - 2
= 6 x 6 - 2
= 36 - 2
= 34
His niece's present age as a fraction of Rael's present age
=
434=
217 Answer(s):
217 
