SOLUTION: 1. Ana's father is 5 times older than Ana and Ana is twice as old than his sister Alice. In two years time, the sum of their ages will be 58. How old is Ana now? solve this word po

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Question 1170967: 1. Ana's father is 5 times older than Ana and Ana is twice as old than his sister Alice. In two years time, the sum of their ages will be 58. How old is Ana now? solve this word porblem
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
f = father's present age
a = Ana's
al = Alice's
:
write an equation for each statement
:
1. Ana's father is 5 times older than Ana
f = 5a
and Ana is twice as old than his sister Alice.
a = 2al
or divide eq by 2
al = .5a
In two years time, the sum of their ages will be 58.
(f+2) + (a+2) + (al+2) = 58
f + a + al + 6 = 58
f + a + al = 58 - 6
f + a + al = 52
replace f with 5a, replace al with .5a
5a + a + .5a = 52
6.5a = 52
a = 52/6.5
a = 8 yrs is Ana's age
:
:
Check this: f is 5(8) = 40; al is .5(8) = 4
In two years
42 + 10 + 6 = 58