Question 1169413
w, woman
d, daughter


{{{system(w=4d,(w+5)^2-(d+5)^2=120)}}}


Substitute for w, and ,...

{{{15d^2+30d=120}}}
.
.
{{{d^2+2d-8=0}}}

{{{(d-2)(d+4)=0}}}

{{{highlight(d=2)}}} and {{{w=8}}}.



These results are not very typical values, to say the least.  Maybe recheck the original problem description.