SOLUTION: Today, Emily is 5 years younger than her sister. In three years, she will be half of her sisters age. How old will Emily be then?

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Question 971517: Today, Emily is 5 years younger than her sister. In three years, she will be half of her sisters age. How old will Emily be then?
Found 2 solutions by josgarithmetic, stanbon:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
e, emily
s, sister
system%28e=s-5%2Ce%2B3=%28s%2B3%29%2F2%29

2%28e%2B3%29=s%2B3
2e%2B6=s%2B3
substitute
2%28s-5%29%2B6=s%2B3
2s-10%2B6=s%2B3
s-4=3
highlight%28s=7%29

highlight%28e=2%29------Emily's current age. She will be 5 year old, in three years.

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Today, Emily is 5 years younger than her sister. In three years, she will be half of her sisters age. How old will Emily be then?
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Equations:
e = s-5
e+3 = (1/2)(s+3)
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Substitute for "e" and find "s":
s-5+3 = (1/2)(s+3)
s-2 = (1/2)(s+3)
2s-4 = s+3
s = 7 (Sister's age now)
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Solve for "e":
e = s-5
e = 7-5 = 2 yrs (Emily's age now)
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Cheers,
Stan H.
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