SOLUTION: Jack is 12 years older than Jill. 8 years ago, the sum of their ages was 48. How old are they now?

Algebra ->  Customizable Word Problem Solvers  -> Age -> SOLUTION: Jack is 12 years older than Jill. 8 years ago, the sum of their ages was 48. How old are they now?      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 1094543: Jack is 12 years older than Jill. 8 years ago, the sum of their ages was 48. How old are they now?
Answer by addingup(3677) About Me  (Show Source):
You can put this solution on YOUR website!
let jack be x and jill be y:
x = y+12
x-8 + y-8 = 48
y+12-8+y-8 = 48
2y+12-16 = 48
2y-4 = 48
2y = 52
y = 26 this is Jill's age. And Jack:
26+12 = 38
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Check - 8 years ago:
26-8+38-8 = 48 Correct