Paul's age is
14 his sister's age now. In 16 years' time, his age will be
34 that of his sister's. How old is Paul now?
|
Paul |
Paul's sister |
Difference |
Before |
1x1 = 1 u |
4x1 = 4 u |
3x1 = 3 u |
Change |
+ 16 |
+ 16 |
|
After |
3x3 = 9 u |
4x3 = 12 u |
1x3 = 3 u |
The difference in the age between Paul and Paul's sister remains unchanged. Make the difference in age the same. LCM of 3 and 1 is 3.
Increase in the age of Paul
= 9 u - 1 u
= 8 u
8 u = 16
1 u = 16 ÷ 8 = 2
Paul's age now
= 1 u
= 1 x 2
= 2
Answer(s): 2