Question 1174848
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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


    {{{(x+36)/x}}} = {{{24/15}}}.


Cross multiply; then simplify


    15*(x+36) = 24x

    15x + 15*36 = 24x

    15*36 = 24x - 15x

    15*36 = 9x

      x   = {{{(15*36)/9}}} = 15*4 = 60.


<U>ANSWER</U>.  The daughter is 60 years old.  The mother is 60+36 = 96 years old.
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Solved.