Jack's age is
14 his sister's age now. In 42 years' time, his age will be
35 that of his sister's. How old is Jack now?
|
Jack |
Jack's sister |
Difference |
Before |
1x2 = 2 u |
4x2 = 8 u |
3x2 = 6 u |
Change |
+ 42 |
+ 42 |
|
After |
3x3 = 9 u |
5x3 = 15 u |
2x3 = 6 u |
The difference in the age between Jack and Jack's sister remains unchanged. Make the difference in age the same. LCM of 3 and 2 is 6.
Increase in the age of Jack
= 9 u - 2 u
= 7 u
7 u = 42
1 u = 42 ÷ 7 = 6
Jack's age now
= 2 u
= 2 x 6
= 12
Answer(s): 12