SOLUTION: The difference between the ages of two sisters is 5 years.three years ago,the ratio of their ages is 4:3. Find their present ages

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Question 588628: The difference between the ages of two sisters is 5 years.three years ago,the ratio of their ages is 4:3. Find their present ages
Answer by stanbon(75887) About Me  (Show Source):
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The difference between the ages of two sisters is 5 years.three years ago,the ratio of their ages is 4:3. Find their present ages
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Equations:
x - y = 5
(x-5)/(y-5) = 4/3
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Substitute for "y" and solve for "x":
(x-5)/(x-5-5) = 4/3
(x-5)/(x-10) = 4/3
3x-15 = 4x-40
x = 25 (age of one of the sisters
Solve for "y":
x-y = 5
25-y = 5
y = 20 (age of the other sister)
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Cheers,
Stan H.