SOLUTION: Lena is twice as old as her sister Mia. Four years ago, the sum of their ages was 24. How old are Lena and Mia now?

Algebra ->  Customizable Word Problem Solvers  -> Age -> SOLUTION: Lena is twice as old as her sister Mia. Four years ago, the sum of their ages was 24. How old are Lena and Mia now?      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 1209586: Lena is twice as old as her sister Mia. Four years ago, the sum of their ages was 24. How old are Lena and Mia now?
Found 2 solutions by timofer, josgarithmetic:
Answer by timofer(105) About Me  (Show Source):
You can put this solution on YOUR website!
Lena---------------- 2m
Mia----------------- m

Four years ago ------- 2m%2Bm-4-4=24
3m=24%2B8
3m=32
m=10%262%2F3, MAYBE

Probably need recheck the original problem.

Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
             Age now          4 years ago

Lema          2x              2x-4

Mia            x               x-4

TOTAL                          24

%282x-4%29%2B%28x-4%29=24
-
2x-4%2Bx-4=24
3x-8=24
3x=24%2B8
3x=32
x=32%2F3
x=30%2F3%2B2%2F3
x=10%262%2F3-this is about 10 years 8 months.

Lena is 2x so 2%2810%2B2%2F3%29=20%2B4%2F3=21%261%2F3-which is 21 years 4 months.