SOLUTION: a woman is older dan her daughter by 15 yrs, 10 yrs ago the ratio of their age was 4,1 find thier present age

Algebra ->  Customizable Word Problem Solvers  -> Age -> SOLUTION: a woman is older dan her daughter by 15 yrs, 10 yrs ago the ratio of their age was 4,1 find thier present age      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 1119162: a woman is older dan her daughter by 15 yrs, 10 yrs ago the ratio of their age was 4,1 find thier present age
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
a woman is older than her daughter by 15 yrs,
w = d + 15
10 yrs ago the ratio of their age was 4:1
%28w-10%29%2F%28d-10%29 = 4%2F1
Cross multiply
w - 10 = 4(d-10)
w - 10 = 4d - 40
w = 4d - 40 + 10
w = 4x - 30
Replace w with (d+25) from the first statement
d + 15 = 4d - 30
d - 4d = -30 -15
-3d = -45
d = -15/-3
d = +15 is the daughter's age
find w
w = 15 + 15
w = 30 is the woman's age
:
:
Check by finding the ratio of their ages 10 ears ago: 20:5 = 4:1