SOLUTION: Sammie would be one-half as old as Linda if Sammie were four years older. Linda is eight less than three times as old as Sammie. How old is Linda. Thanks.

Algebra ->  Customizable Word Problem Solvers  -> Age -> SOLUTION: Sammie would be one-half as old as Linda if Sammie were four years older. Linda is eight less than three times as old as Sammie. How old is Linda. Thanks.      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 876138: Sammie would be one-half as old as Linda if Sammie were four years older. Linda is eight less than three times as old as Sammie. How old is Linda. Thanks.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +a+ = Sammie's age now
Let +b+ = Linda's age now
----------------------------
+a+%2B+4+ = Sammie's age in 4 yrs
------------------------------
(1) +a+%2B+4+=+%28+1%2F2+%29%2Ab+
(2) +b+=+3a+-+8+
-------------------
Substitute (2) into (1)
(1) +a+%2B+4+=+%28+1%2F2+%29%2A%28+3a+-+8+%29+
(1) +2a+%2B+8+=+3a+-+8+
(1) +a+=+16+
and
(2) +b+=+3a+-+8+
(2) +b+=+3%2A16+-+8+
(2) +b+=+40+
Linda is 40
---------------
check:
If Sammie were +16+%2B+4+=+20+
he would be half as old as Linda
+20+=+%281%2F2%29%2A40+
+20+=+20+
OK
-------------------
Linda is eight less than three times as old as Sammie
+40+=+3%2A16+-+8+
+40+=+40+
OK