SOLUTION: A woman is 20 years more than the age of her daughter. In eleven years she will be 3 years less than twice her daughter's age, how old is each now?

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Question 273337: A woman is 20 years more than the age of her daughter. In eleven years she will be 3 years less than twice her daughter's age, how old is each now?
Found 2 solutions by richwmiller, JBarnum:
Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
d+20=w
2*(d+11)-3=w+11
2d+22-3=d+20+11
d=12
w=32
check
2*23-3=43
46-3=43
43=43
ok

Answer by JBarnum(2146) About Me  (Show Source):
You can put this solution on YOUR website!
w=woman d=daughter
w=20%2Bd
w%2B11=2%28d%2B11%29-3use substitution for w
%2820%2Bd%29%2B11=2d%2B22-3add like terms
31%2Bd=2d%2B19 subtract 19 amd d
12=d
use first equation
w=20%2Bd plug in d=12
w=20%2B12
w=32
Woman is highlight%2832yrs%29
Daughter is highlight%2812yrs%29