SOLUTION: Mark is two years older than Buddy. In a year from now, Mark will be twice as old as Buddy. Find their present ages

Algebra ->  Customizable Word Problem Solvers  -> Age -> SOLUTION: Mark is two years older than Buddy. In a year from now, Mark will be twice as old as Buddy. Find their present ages      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 1137349: Mark is two years older than Buddy. In a year from now, Mark will be twice as old as Buddy. Find their present ages
Answer by ikleyn(52903) About Me  (Show Source):
You can put this solution on YOUR website!
.
Let x be the Buddy age now.


Then Mark is (x+2) years old.


Then the condition states


(x+2) + 1 = 2(x+1).


Simplify and solve


x + 3 = 2x + 2

3 - 2  = 2x - x.

1 = x


ANSWER.  Buddy is 1 years old.  Mark is 1+2 = 3 years old.


CHECK.   In  a year  B= 2,   M = 3+1 = 4,  and  4 is twice as 2.   ! Correct !