SOLUTION: The sum of ages of mother and her daughter is 50 years.After 20 years mothers age will be twice as that of a daughters age.Find their present ages

Question 696512: The sum of ages of mother and her daughter is 50 years.After 20 years mothers age will be twice as that of a daughters age.Find their present ages
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
The sum of ages of mother and her daughter is 50 years.
After 20 years, mothers age will be twice as that of a daughters age.
Find their present ages.
:
let m = Mom's present age
let d = daughter's
:
Write an equation for each statement:
:
"The sum of ages of mother and her daughter is 50 years."
m + d = 50
:
"After 20 years mothers age will be twice as that of a daughters age."
m + 20 = 2(d + 20)
m + 20 = 2d + 40
m - 2d = 40 - 20
m - 2d = 20
:
Use elimination on these two equations
m + d = 50
m -2d = 20
---------------subtraction eliminates m, find d
3d = 30
d = 10 yrs is the daughter
:
I'll let you find Mom's age, check the solution in the last statement
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