SOLUTION: The difference between the ages of two sisters is 5 years.three years ago,the ratio of their ages is 4:3. Find their present ages

Question 588628: The difference between the ages of two sisters is 5 years.three years ago,the ratio of their ages is 4:3. Find their present ages
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The difference between the ages of two sisters is 5 years.three years ago,the ratio of their ages is 4:3. Find their present ages
---
Equations:
x - y = 5
(x-5)/(y-5) = 4/3
----
Substitute for "y" and solve for "x":
(x-5)/(x-5-5) = 4/3
(x-5)/(x-10) = 4/3
3x-15 = 4x-40
x = 25 (age of one of the sisters
Solve for "y":
x-y = 5
25-y = 5
y = 20 (age of the other sister)
===================
Cheers,
Stan H.
RELATED QUESTIONS
The sum of the ages of Mr.Daniel and his daughter is 60 years. 5 years ago, the ratio of... (answered by Alan3354,ankor@dixie-net.com)

The ratio of the ages of two sisters is 4 :3.The elder sister is 3 years older than the... (answered by Theo,greenestamps)

The difference between the ages of two brothers today is 4 years. five years ago, the... (answered by lwsshak3)

The difference between the ages of two sisters is 10 years. If 15 years ago the elder one (answered by ankor@dixie-net.com)

The difference of the present ages of two brothers is 4 years,5years ago,if the product... (answered by mananth)

A woman is older than her daughter by 25 years. Three years ago, the ratio of their ages... (answered by VFBundy,greenestamps)

A brother is five years older than his sister. Four(4) years ago,the ratio of their ages (answered by richwmiller)

A brother is 3 years older than his sister, five years ago, the ratio of their ages were... (answered by ikleyn,josgarithmetic,greenestamps)

The sum of ages of two sisters is 22years.six years ago,the product of their ages was... (answered by Alan3354,josgarithmetic)