Question 1069208: Kyle is two years younger than Claire. 12 years ago, Claire was twice as old as Kyle. How old is Kyle and Claire now? Found 2 solutions by josmiceli, ikleyn:Answer by josmiceli(19441) (Show Source):
You can put this solution on YOUR website! Let = Kyle's age now
Let = Claire's age now
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(1)
(2)
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(2)
(2)
and
(1)
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Add the equations
(2)
(1)
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and
(1)
(1)
(1)
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14 = Kyle's age now
16 = Claire's age now
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check:
(2)
(2)
(2)
(2)
OK
Your equations are
K = C - 2, (1)
C-12 = 2(K-12) (2)
Substitute the expression (1) to the equation (2), replacing K. You will get
C - 12 = 2((C-2)-12).
Simplify and solve:
C - 12 = 2C - 28,
28 - 12 = C,
C = 16.
Answer. Clair present age is 16 yeras. Kyle present age is 16-2 = 14.
