SOLUTION: A mother after 5 years will be twice the age of her daughter. The difference of their ages is 19 years. What is the age of daughter?

Question 1120302: A mother after 5 years will be twice the age of her daughter. The difference of their ages is 19 years. What is the age of daughter?
Found 2 solutions by Boreal, greenestamps:
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
daughter's age now is x, mother, y
In 5 years, daughter will be x+5 and mother y+5
y+5 will be 2(x+5)
y-x=19
y=x+19
Therefore x+19+5=2(x+5)
x+24=2x+10
x=14 years now for daughter ANSWER
Mother is 33
In 5 years, their respective ages will be 19 and 38.

Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!

If the difference in their ages is 19 years, then the mother will be twice as old as her daughter when the daughter is 19 and the mother is 38.

Since that will be 5 years from now, the mother's age now is 38-5 = 33.

That means her daughter's age now is 33-19 = 14.
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