SOLUTION: Melissa is 5 years younger than Ann. In 6 years, the sum of their ages will be 35. How old is each now?

Algebra ->  Customizable Word Problem Solvers  -> Age -> SOLUTION: Melissa is 5 years younger than Ann. In 6 years, the sum of their ages will be 35. How old is each now?      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 1153383: Melissa is 5 years younger than Ann. In 6 years, the sum of their ages will be 35. How old is each now?
Found 2 solutions by josgarithmetic, MathLover1:
Answer by josgarithmetic(39617) About Me  (Show Source):
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

let Melissa's age be x and Ann's age y
if Melissa is 5 years younger than Ann, we have
x=y-5 ......eq.1

if in 6 years, the sum of their ages will be 35,
%28x%2B6%29%2B%28y%2B6%29=35
x%2B6%2By%2B6=35
x%2By%2B12=35
x%2By=35-12
x%2By=23
x=23-y.......eq.2
from eq.1 and eq.2 we have,
23-y=y-5
23%2B5=y%2By
28=2y
y=14
go to
x=y-5 ......eq.1, substitute y
x=14-5
x=9
Melissa 9 years old now and Ann is 14 years old now