SOLUTION: the sum of the ages of the girl and brother is 26 years. 3 years ago her age was four time the age of her brother. find the present ages of the girl and brother??

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Question 896731: the sum of the ages of the girl and brother is 26 years. 3 years ago her age was four time the age of her brother. find the present ages of the girl and brother??
Answer by YvonneGodsway(2) About Me  (Show Source):
You can put this solution on YOUR website!
Let girl be x and boy be y.
x+y=26
x=26-y
3 years ago;
boy was y-3
girl was x-3
since girl was 4 times age of girl,
x-3=4(y-3)
x-3=4y-12
since x=26-y
(26-y)-3=4y-12
23-y=4y-12
23+12=4y+y
35=5y
y=7
x=26-7
x=19
hence girl is 19years and boy is 7years