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.
:
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