SOLUTION: Denise is six more than two times as old as Cheryl. In 21 years the sum of their two ages will be 99. How old is Cheryl now.

Algebra ->  Customizable Word Problem Solvers  -> Age -> SOLUTION: Denise is six more than two times as old as Cheryl. In 21 years the sum of their two ages will be 99. How old is Cheryl now.      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 613803: Denise is six more than two times as old as Cheryl. In 21 years the sum of their two ages will be 99. How old is Cheryl now.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +d+ = Denise's age now
Let +c+ = Cheryl's age now
given:
(1) +d+=+2c+%2B+6+
(2) +d+%2B+21+%2B+c+%2B+21+=+99+
-----------------------
(1) +d+-+2c+=+6+
and
(2) +d+%2B+c+=+99+-+42+
(2) +d+%2B+c+=+57+
Subtract (1) from (2)
(2) +d+%2B+c+=+57+
(1) +-d+%2B+2c+=+-6+
+3c+=+51+
+c+=+17+
and, since
+d+=+2c+%2B+6+
+d+=+2%2A17+%2B+6+
+d+=+40+
Cheryl is 17 now