SOLUTION: Mr. Kim is 25 years older than his daughter. In 10 years Mr. Kim will be twice as old as his daughter will be. How old is each now?

Question 981993: Mr. Kim is 25 years older than his daughter. In 10 years Mr. Kim will be twice as old as his daughter will be. How old is each now?
Answer by macston(5194) (Show Source): You can put this solution on YOUR website!
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D=daughter's age; F=father's age=D+25
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F+10yrs=2(D+10yrs) Substitute for F.
D+25yrs+10yrs=2D+20 yrs
D+35yrs=2D+20yrs
15yrs=D ANSWER 1: Daughter is 15 years old.
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F=D+25yrs=15yrs+25yrs=40yrs ANSWER 2: Father is 40 years old
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CHECK:
F+10yrs=2(D+10yrs)
40yrs+10yrs=2(15yrs+10yrs)
50yrs=2(26yrs)
50yrs=50yrs
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