SOLUTION: Mike is 8 years older than her brother Curt. Four years from now, Mike will be twice as old as Curt. How old is Mike?

Algebra ->  Customizable Word Problem Solvers  -> Age -> SOLUTION: Mike is 8 years older than her brother Curt. Four years from now, Mike will be twice as old as Curt. How old is Mike?      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 1151051: Mike is 8 years older than her brother Curt. Four years from now, Mike will be twice as old as Curt. How old is Mike?
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

let Mike's age be x and Curt's age y
if Mike is 8+years older than her brother Curt, we have:
x=y%2B8........eq.1
if four years from now, Mike will be twice as old as Curt, we have
x%2B4=2%28y%2B4%29
x=2%28y%2B4%29-4
x=2y%2B8-4
x=2y%2B4.....eq.2

from eq.1 and eq.2 we have

y%2B8=2y%2B4
8-4=2y-y
y=4->Curt's age

x=y%2B8........eq.1
x=4%2B8
x=12->Mike's age