Question 627671
  <pre><font face = "Tohoma" size = 3 color = "indigo"><b> 
Hi,
a <u>woman is 4 times older than her daughter's age</u>{{{highlight(x)}}} , 
6 years ago the product of their ages was 136.
Question states***  6 years ago...
 (x-6)(4x-6) = 136
  4x^2 -30x + 36 = 136
  4x^2 -30x - 100 = 0
  2x^2 - 15x - 50 = 0
{{{x = (-b +- sqrt( b^2-4*a*c ))/(2*a) }}}
{{{x = (15 +- sqrt(625 ))/(4) }}}
{{{x = (15 +- 25)/(4) }}}
    x = 10,  throwing out the negative solution for age
 daughter is 10 and her mother is 40   {{{4*10}}}

and... 6 years ago...checking our answer
 {{{4*34 = 136}}}