SOLUTION: Five years ago Jane was four times older than Ann. If in thirteen years time Jane will be six years older than Ann, how old are they now? PLEASE SHOW MATHEMATICAL WORKING THAN

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Question 840100: Five years ago Jane was four times older than Ann. If in thirteen years time Jane will be six years older than Ann, how old are they now?

PLEASE SHOW MATHEMATICAL WORKING THANKS
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Right now, Ann is A+years old, Jane is J years old.
Five years ago, Ann was A-5 and Jane was J-5.
J-5=4%28A-5%29
J-5=4A-20
1.J=4A-15
In 13 years, Ann will be A%2B13 and Jane will be J%2B13.
J%2B13=%28A%2B13%29%2B6
J%2B13=A%2B19
2.J=A%2B6
Substitute from eq. 1,
4A-15=A%2B6
3A=21
highlight%28A=7%29
Then use either equation to solve for J
J=A%2B6
J=7%2B6
highlight%28J=13%29