SOLUTION: Sisters Fran is 8 years older than Maria. Four years ago Fran was five times as old as Maria. How old are the girls?

Question 984226: Sisters
Fran is 8 years older than Maria. Four years ago Fran was five times as old as Maria. How old are the girls?

Answer by macston(5194) (Show Source): You can put this solution on YOUR website!
.
F=Fran's age; M=Maria's age
F=M+8 Use this to substitute for F.
.
F-4=5(M-4) Substitute for F
(M+8)-4=5(M-4)
M+4=5M-20
24=4M
6=M ANSWER 1: Maria is 6 years old.
.
F=M+8=6+8=14 ANSWER 2: Fran is 14 years old.
.
CHECK:
F-4=5(M-4)
14-4=5(6-4)
10=5(2)
10=10
RELATED QUESTIONS
Raj is 18 years older than Maria. Four years ago, Raj was twice as old as Maria. How old... (answered by Alan3354,josgarithmetic)

Maria is 18 years older than Alma. Five years ago, Maria was twice as old as Alma. How... (answered by solver91311,greenestamps)

Nancy is 4 times as old as her sister, Fran. 3 years ago, the sum of their ages was 4... (answered by solver91311)

Maria is five times as old as her daughter. Three years ago she was seven times as old as (answered by chen)

Fran is 7 years older than Betty. The sum of their ages is 57. How old are Fran and... (answered by josgarithmetic)

Hi can someone help me solving this problem. Thank you very much. 1. Erwins age is... (answered by MathTherapy)

Maria is 15 years older than her sister Juana. Six years ago, Maria was 6 times as old as (answered by ankor@dixie-net.com)

Karen is twice as old as Maria. Karen is also three years older than Maria. How old is... (answered by ankor@dixie-net.com)

Maria is five times older than her sister Debbie. In 6 years she will only be twice as... (answered by htmentor)