SOLUTION: This quesion is from aplus.cmcss.net not a book. max is 24 years older than his son liam. in two years liam will be half as old as max. how old is liam now? and max? i ass

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: This quesion is from aplus.cmcss.net not a book. max is 24 years older than his son liam. in two years liam will be half as old as max. how old is liam now? and max? i ass      Log On


   



Question 203037: This quesion is from aplus.cmcss.net not a book.

max is 24 years older than his son liam. in two years liam will be half as old as max. how old is liam now? and max?
i assumed it could be put like this but it has not been working for me.
m= l + 24
l= 1/2m + 2

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
max is 24 years older than his son liam.
in two years liam will be half as old as max.
how old is liam now? and max?
i assumed it could be put like this but it has not been working for me.
m = l + 24
:
Both will be two years older, so you have
l+2 = .5(m+2)
l + 2 = .5m + 1
l = .5m + 1 - 2
l = .5m - 1
from the 1st equation substitute (l+24) for m
l = .5(l+24) - 1
l = .5l + 12 - 1
l - .5l = 11
.5l = 11
Multiply both sides by 2 to get 1l
l = 22
then
m = 22 + 24
m = 46
:
:
See if that is true in the statement:
"in two years liam will be half as old as max."
22 + 2 = .5(46 + 2)
:
Did this make sense to you now?