SOLUTION: The sum of th ages of a mother and her daughter is 52 years. Eight years ago, the mother was eight times as old as her daughter. How old is the mother now?

Algebra ->  Customizable Word Problem Solvers  -> Age -> SOLUTION: The sum of th ages of a mother and her daughter is 52 years. Eight years ago, the mother was eight times as old as her daughter. How old is the mother now?      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 1059171: The sum of th ages of a mother and her daughter is 52 years. Eight years ago, the mother was eight times as old as her daughter. How old is the mother now?
Answer by math_helper(2461) About Me  (Show Source):
You can put this solution on YOUR website!
Let m = mother's age now
and d = daughter's age now
"the sum of the ages of a mother and her daughter is 52"
gives
+m+%2B+d+=+52+
and
"8 years ago, the mother was 8 times as old as her daughter"
gives
+m-8+=+8%2A%28d-8%29+
The first equation gives us +d+=+52-m+ and now we can substitute "52-m" for "d" in the 2nd equation.
+m-8+=+8%2A%28%2852-m%29+-+8%29+
++m+-8+=+352+-+8m+
Can you solve for m?