SOLUTION: rina is twice as old as lori three years from now .the sum of their ages will be 42 how is old is.rina?

Algebra ->  Customizable Word Problem Solvers  -> Age -> SOLUTION: rina is twice as old as lori three years from now .the sum of their ages will be 42 how is old is.rina?       Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 1110595: rina is twice as old as lori three years from now .the sum of their ages will be 42 how is old is.rina?

Answer by rothauserc(4718) About Me  (Show Source):
You can put this solution on YOUR website!
Let r be Rina's age and l be Lori's age, then
:
1) r = 2l
:
2) (r+3) + (l+3) = 42
:
use equation 1 to substitute for r in equation 2
:
(2l+3) + (l+3) = 42
:
3l + 6 = 42
:
3l = 36
:
l = 12
:
****************************************
use equation 1
:
Rina is 2 * 12 = 24 years old
:
check the answer with equation 2
:
(24+3) + (12+3) = 42
:
27 + 15 = 42
:
42 = 42
:
our answer checks
*****************************************
: