SOLUTION: At present, Chris is twice as old as Todd. In x years, Chris will be 3/2 times Todd's age then. Find the present age of Todd in terms of x.

Algebra ->  Customizable Word Problem Solvers  -> Age -> SOLUTION: At present, Chris is twice as old as Todd. In x years, Chris will be 3/2 times Todd's age then. Find the present age of Todd in terms of x.       Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 675751: At present, Chris is twice as old as Todd. In x years, Chris will be 3/2 times Todd's age then. Find the present age of Todd in terms of x.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +y+ = Todd's age now
+2y+ = Chris's age now
+y+%2B+x+ = Todd's age in +x+ years
+2y+%2B+x+ = Chris's age in +x+ years
-----------------------------------
given:
+2y+%2B+x+=+%283%2F2%29%2A%28+y+%2B+x+%29+
+2%2A%28+2y+%2B+x+%29+=+3%2A%28+y+%2B+x+%29+
+4y+%2B+2x+=+3y+%2B+3x+
+4y+-+3y+=+3x+-+2x+
+y+=+x+
------------
Todd is presently +x+ years old
check answer:
Todd is +x+ now
Chris is +2x+
In +x+ years, Todd is +x+%2B+x+=+2x+
In +x+ years, Chris is +2x+%2B+x+=+3x+
--------------
+3x+=+%283%2F2%29%2A2x+
+6x+=+6x+
OK