SOLUTION: A mother is 36 years older than her daughter if the ratio of their ages are 24:15find their ages

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Question 1174848: A mother is 36 years older than her daughter if the ratio of their ages are 24:15find their ages
Answer by ikleyn(52786) About Me  (Show Source):
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Let  x  be the daughter age.

Then the mother's age is  (x+36) uears.


From the condition, you have this equation


    %28x%2B36%29%2Fx = 24%2F15.


Cross multiply; then simplify


    15*(x+36) = 24x

    15x + 15*36 = 24x

    15*36 = 24x - 15x

    15*36 = 9x

      x   = %2815%2A36%29%2F9 = 15*4 = 60.


ANSWER.  The daughter is 60 years old.  The mother is 60+36 = 96 years old.

Solved.