Question 1073243
Let c be the age of the child now. Five years ago, he was c-5, and his mother was (c-5)². Fifteen years from now:
(c-5)²+20=2(c+15)
c²-10c+45=2c+30
c²-12c+15=0
This yields a positive root of 10.582575695 as the age of the child now. and (c-5)²+5=36.1651513 as the age of the mother now. ☺☺☺☺