SOLUTION: Ned is two years older than Mike, who is twice as old as Linda. If the ages of the three total 27 years, how old is Mike?

Algebra ->  Customizable Word Problem Solvers  -> Age -> SOLUTION: Ned is two years older than Mike, who is twice as old as Linda. If the ages of the three total 27 years, how old is Mike?      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 683848: Ned is two years older than Mike, who is twice as old as Linda. If the ages of the three total 27 years, how old is Mike?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Ned is two years older than Mike,
n = m+2
:
who is twice as old as Linda.
m = 2L
divide both sides by 2
L = .5m
:
If the ages of the three total 27 years,
n + m + L = 27
Replace n and L
(m+2) + m + .5m = 27
2.5m = 27 - 2
2.5m = 25
m = 25/2.5
m = 10
:
how old is Mike? 10 yrs old
:
:
You can find the ages of Ned and Linda and check the total to confirm this