SOLUTION: Ann, Betty, and Charlotte are sisters, Ann is twice as old as Betty, and Betty is !2 years younger than Charlotte. In five years, Charlotte will be twice as old as Betty. What ar

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Question 534945: Ann, Betty, and Charlotte are sisters, Ann is twice as old as Betty, and Betty is !2 years younger than Charlotte. In five years, Charlotte will be twice as old as Betty. What are the sisters age?
Answer by ptaylor(2198) About Me  (Show Source):
You can put this solution on YOUR website!
Let x=Charlotte's age; x+5=Charlotte's age 5 years hence
x-12=Betty's age;x-12+5=x-7=Betty's age 5 years hence
2(x-12)=Ann's age; 2x-24+5=2x-19=Ann's age 5 years hence
So, our equation to solve is:
x+5=2(x-7)get rid of parens
x+5=2x-14 subtract 2x and also 5 from each side
x-2x+5-5=2x-2x-14-5
-x=-19
x=19---------------------------------------Charlotte's age
x-12=19-12=7-----------------------Betty's age
2(x-12)=2*7=14--------------------Ann's age
CK
"Ann is twice as old as Betty"----14 vs 7---OK
"Betty is 12 years younger than Charlotte"---19-7=12---OK
"In 5 yrs Charlotte will be twice as old as Betty"--- 24 vs 12---OK
Hope this helps ----ptaylor