Question 1158138
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<pre>

Let x be the present age of the daughter.

Then  the present age of the mother is 4*(x-4)+4 = 4x - 12.


From the condition, you have this equation

    x*(4x-12) = 432.


Cancel the factor 4 in both sides

    x*(x-3) = 108.


You can solve this quadratic equation.


An alternative way is to decompose MENTALLY the number 108 into the product of two factors with the difference 3 between them 
    
    108 = 9*12,

so the answer is the greater of these two factors x= 12.


<U>ANSWER</U>.  The daughter is 12 years old.  The mother is 4x - 12 = 4*12-12 = 36 years old.


<U>CHECK</U>.  12*36 = 432.   ! Correct !
</pre>

Solved.