SOLUTION: The age of a mother is twice that of her elder daughter. Ten years from now the age of the mother will be thrice of her younger daughter. If the difference in ages of the two daug

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Question 747156: The age of a mother is twice that of her elder daughter. Ten years from now the age of the
mother will be thrice of her younger daughter. If the difference in ages of the two daughters is
15, the age of the mother is:

Answer by timvanswearingen(106) About Me  (Show Source):
You can put this solution on YOUR website!
Sorry I misread the question the first time.
Let x represent the mother's age.
Then the elder daughter would be x/2
In ten years, the younger daughter's age can be represented by (x+10)/3; subtracting ten from this would give her current age: ((x+10)/3)-10
Since the daughters are 15 years apart, subtract the younger daughter's age from the elder's age and set it equal to 15.
x%2F2-%28%28x%2B10%29%2F3-10%29=15
Now multiply by the LCD which is 6 (2*3)
6%28x%2F2-%28%28x%2B10%29%2F3-10%29%29=15%2A6
3x-2%28x%2B10%29-60=90
3x-2x-20%2B60=90
x%2B40=90
x=50
X represented the mother's age, so the mother is 50 years old.