SOLUTION: Cesar is 70 years younger than Holly. 7 years ago, Holly's age was 3 times Cesar's age. How old is Cesar now?

Algebra ->  Customizable Word Problem Solvers  -> Age -> SOLUTION: Cesar is 70 years younger than Holly. 7 years ago, Holly's age was 3 times Cesar's age. How old is Cesar now?       Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 1095907: Cesar is 70 years younger than Holly. 7 years ago, Holly's age was 3 times Cesar's age. How old is Cesar now?

Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
system%28h-c=70%2Ch-7=3%28c-7%29%29
-
h-7=3c-21
h-3c=-14

Solve system for h and c:
system%28h-c=70%2Ch-3c=-14%29

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

Cesar is 70 years younger than Holly. 7 years ago, Holly's age was 3 times Cesar's age. How old is Cesar now?
Let Cesar's age be C
Then Holly's is: C + 70
We then get: C + 70 - 7 = 3(C - 7)
C + 63 = 3C - 21
C - 3C = - 21 - 63
- 2C = - 84
C, or Cesar is: