SOLUTION: Cliff is 6 years older than his sister Claire. In 2 years cliff will be twice as old. X = Cliff present Age Y = Claire's present Age Question: what is their current age?

Question 425316: Cliff is 6 years older than his sister Claire. In 2 years cliff will be twice as old.
X = Cliff present Age
Y = Claire's present Age
Question: what is their current age?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Cliff is 6 years older than his sister Claire.
In 2 years cliff will be twice as old.
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Equations:
X = Cliff present Age
Y = Claire's present Age
x = y+6
(x+2) = 2(y+2)
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substitute for "x" and solve for "y":
(y+6+2) = 2y+4
y + 8 = 2y+4
y = 4 (Claire's present age)
----
Solve for "x":
x = y + 6
x = 4 + 6 = 10 (Cliff's present age)
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Cheers,
Stan H.
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Question: what is their current age?
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