SOLUTION: Annilee's present age is two-thirds of Jessie's present age. In 12 years the sum of their ages will be 54 years. Find their present ages.

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: Annilee's present age is two-thirds of Jessie's present age. In 12 years the sum of their ages will be 54 years. Find their present ages.      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 135353:
Annilee's present age is two-thirds of Jessie's present age. In 12 years the sum of their ages will be 54 years. Find their present ages.
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
A=2J/3
IN 12 YEARS A WILL BE A+12
IN 12 YEARS J WILL BE J+12
USING THE (2J/3) FOR A's GURRENT AGE WE ADD 12 YEARS OR 2J/3+12
USING J+12 FOR J's AGR 12 YEARS FROM NOW.
ADDING THESE 2 AGES WE GET:
2J/3+12+J+12=54
2J/3+J=54-12-12
5J/3=54-24
5J/3=30
5J=3*30
5J=90
J=90/5
J=18 IS THE CURRENT AGE OF J.
A=2*18/3=36/3=12 IS THE CURRENT AGE OF A.
PROOF
18+12+12+12=54
54=54