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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.
