Problema Solution
Tom and Phil are brothers. The difference between their ages is 11 and it is given that 1/5 times the sum of their ages is 9. Find their ages.
Answer provided by our tutors
let
t = the age of Tom
p = the age of Phil
The difference between their ages is 11
t - p = 11
and it is given that 1/5 times the sum of their ages is 9
(1/5)(t + p) = 9
by solving the system of equations
t - p = 11
(1/5)(t + p) = 9
we find
t = 28 years
p = 17 years
click here to see the step by step solution of the system of equations
Tom is 28 years of age.
Phil is 17 years of age.