Problema Solution
Six years ago, the ratio of the age of mervin and gary was 4 is to 7. In 6 years, the ration of their ages will be 2 is to 3 gary is older to mervin by how many years?
Answer provided by our tutors
let
m = the age of mervin at the moment
g = the age of gary at the moment
6 years ago, the ratio of the age of mervin and gary was 4 is to 7
(m - 6):(g - 6) = 4 : 7
7(m - 6) = 4(g - 6)
in 6 years, the ration of their ages will be 2 is to 3
(m + 6):(g + 6) = 2 : 3
3(m + 6) = 2(g + 6)
by solving the system of equations
7(m - 6) = 4(g - 6)
3(m + 6) = 2(g + 6)
we find
g = 48 years
m = 30 years
click here to see the step by step solution of the system of equations
since 48 - 30 = 18 follows gary is older then mervin by 18 years.