SOLUTION: Age Practice Problem Cesar is 18 years younger than Haley. 7 years ago, Haley's age was 2 times Cesar's age. How old is Cesar now?

Algebra ->  Linear-equations -> SOLUTION: Age Practice Problem Cesar is 18 years younger than Haley. 7 years ago, Haley's age was 2 times Cesar's age. How old is Cesar now?       Log On


   



Question 1175133: Age Practice Problem
Cesar is 18 years younger than Haley. 7 years ago, Haley's age was 2 times Cesar's age. How old is Cesar now?

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

let Cesar ‘s age be C and Haley's age H
if Cesar is 18+ years younger than Haley, we have
C=H-18....eq.1
if 7 years ago, Haley's age was 2 times Cesar's age, we have
H-7=2%28C-7%29....eq.2......substitute C
H-7=2%28H-18-7%29
H-7=2%28H-25%29
H-7=2H-50
50-7=2H-H
43=H
go to
C=H-18....eq.1....substitute H
C=43-18
C=25
answer: Cesar is 25 years old now