SOLUTION: John's father is 5 times older than John and John is twice as old as his sister Alice. In two years time, the sum of their ages will be 58. How old is John now?

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Question 227833: John's father is 5 times older than John and John is twice as old as his sister Alice. In two years time, the sum of their ages will be 58. How old is John now?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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John's father is 5 times older than John
F = 5J
:
John is twice as old as his sister Alice.
J = 2A
or
A = .5J
:
In two years time, the sum of their ages will be 58.
F+2 + J+2 + A+2 = 58
F + J + A + 6 = 58
F + J + A = 58 - 6
F + J + A = 52
:
How old is John now?
:
Substitute for F & A
5J + J + .5J = 52
6.5J = 52
J = 52%2F6.5
J = 8 yrs is John
:
:
You can check solution using the given equations