SOLUTION: Julia is twice as old as helen. In 4 years, the su of their ages will be 47. How old is each person

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Question 927665: Julia is twice as old as helen. In 4 years, the su of their ages will be 47. How old is each person
Answer by MathLover1(20850) About Me  (Show Source):
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Julia is twice as old as Helen:
J=2H...eq.1
In 4 years, the sum of their ages will be 47:
%28J%2B4%29%2B%28H%2B4%29=47....eq.2...substitute 2H for J+ from eq.1
2H%2B4%2BH%2B4=47...solve for H
3H%2B8=47
3H=47-8
3H=39
highlight%28H=13%29
go back to eq.1 and find J
J=2H...eq.1
J=2%2A13
highlight%28J=26%29
so, let's check the answer:
in 4 years J=30 and H=17, then their sum is 30%2B17=47