Problema Solution
The sum of the ages of Ruth and her mother is 77 years. The difference of their ages is 27. How old is Ruth? How old is her mother?
Answer provided by our tutors
let
r = the age of Ruth
m = the age of her mother
The sum of the ages of Ruth and her mother is 77 years
r + m = 77
The difference of their ages is 27
m - r = 27
by solving the system of equations
r + m = 77
m - r = 27
we find
r = 25 years
m = 52 years
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Ruth's mother is 52 years old now.