SOLUTION: Micah is 6 years older than Stephanie. In 5 years the sum of their ages will be 72. How old is Micah now?

Algebra ->  Customizable Word Problem Solvers  -> Age -> SOLUTION: Micah is 6 years older than Stephanie. In 5 years the sum of their ages will be 72. How old is Micah now?      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 1174663: Micah is 6 years older than Stephanie. In 5 years the sum of their ages will be 72. How old is Micah now?
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
Micah is 34.
Stephanie is 28.

check:
Micah, 6+28=34;
34+5+28+5=34+28+10
50+12+10=72------------okay

-----
-----
Micah is k years older than Stephanie. In t years the sum of their ages will be Q. How old is Micah now?
x Stephanie
m Micah
system%28x=m-k%2Cm%2Bt%2Bx%2Bt=Q%29
-
m%2B%28m-k%29=Q-2t
2m-k=Q-2t
2m=Q-2t%2Bk
highlight_green%28m=%28Q-2t%2Bk%29%2F2%29
m=%2872-2%2A5%2B6%29%2F2
m=36-5%2B3
highlight%28m=34%29