Problema Solution
if r,s and t represent three positive integers such that r:s:t:=4:3:2 and r(squared):s(squared):t(squared)=27. Find the values of r s and t?
Answer provided by our tutors
Since r : s : t = 4 : 3 : 2 we can write:
r = 4k
s = 3k
t = 2k
where k is a constant
r^2 : s^2 : t^2 = 27
(4k)^2 : (3k)^2 : (2k)^2 = 27 : 1 : 1
by solving we find:
k^2 = 2^2/3^5
click here to see the step by step solution of the equation:
for this value of k also 4k, 3k and 2k are not integer thus there is no integer solution.