SOLUTION: Sofia is 7 years older than her cousin. In 4 years, she will be twice as old as her cousin. How old is each now?

Question 982043: Sofia is 7 years older than her cousin. In 4 years, she will be twice as old as her cousin. How old is each now?
Answer by macston(5194) (Show Source): You can put this solution on YOUR website!
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C=cousin's age; S=Sofia's age=C+7yrs
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S+4yrs=2(C+4yrs)
S+4yrs=2C+8yrs
S=2C+4yrs Substitute for S
C+7yrs=2C+4yrs
3yrs=C ANSWER 1: Cousin is 3 years old.
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S=C+7yrs=3yrs+7yrs=10yrs ANSWER 2: Sofia is 10 years old.
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CHECK:
S+4yrs=2(C+4yrs)
10yrs+4yrs=2(3yrs+4yrs)
14yrs=2(7yrs)
14yrs=14yrs
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