SOLUTION: Miguel is 44 years older than Kendra. In 14 years he will be 2 times her age. How old is each now?

Question 1053675: Miguel is 44 years older than Kendra. In 14 years he will be 2 times her age. How old is each now?
Answer by ikleyn(52785) (Show Source): You can put this solution on YOUR website!
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Miguel is 44 years older than Kendra. In 14 years he will be 2 times her age. How old is each now?
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M = K + 44,         (1)   ("Miguel is 44 years older than Kendra")
M + 14 = 2(K+14).   (2)   ("In 14 years he will be 2 times her age.)

Substitute (1) into (2). You will get

(K+44) + 14 = 2(K+14).

Simplify and solve:

K + 58 = 2K + 28  --->  K = 30.

Answer.  Kendra is 30 years old. Miguel is 74.

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    - Age problems and their solutions
    - A fresh formulation of a traditional age problem
    - Really intricate age word problem
    - Selected age word problems from the archive
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