Problema Solution
Luisa noticed that in 7 years she'll be half her mother's age. If 3 years ago Luisa was 1/3 her mother's age, how old is her mother now?
Answer provided by our tutors
let
l = the age of Luisa now
m = the age of her mother now
Luisa noticed that in 7 years she'll be half her mother's age
l + 7 = (1/2)(m + 7)
3 years ago Luisa was 1/3 her mother's age
l - 3 = (1/3)(m - 3)
by solving the system of equations
l + 7 = (1/2)(m + 7)
l - 3 = (1/3)(m - 3)
we find
l = 13 years
m = 33 years
click here to see the step by step solution of the system of equations
Louisa's mother is 33 years old now.