Posted by Jeremy on Thursday, September 23, 2010 at 11:37pm.
Let the lengths in inches be represented by the uppercase initials, J,K,M,T, and the weights in pounds by the lowercase initials, j,k,m,t.
J+K+M+T=72 ....(1)
j+k+m+t=20 ....(2)
T-J=1 ....(3)
J-K=1 ....(4)
m-k=2 ....(5)
j+t=m+k ...(6)
use(2) to conlude that
j+t=m+k=10 ....(6A)
From m-k=2 and m+k=2, calculate m and k.
"Tim's fish was the longest and one of only two fish that were of equal weight." =>
t≠m, otherwise j=k.
Likewise, t≠k, otherwise j=m.
Therefore t=j=5
The shortest fish was 1 foot 5 inches (17") long. =>
T+J+K=17"+18"+19"=54
M=72-54=18
Read and understand the above carefully, solve for all the variables, and post if you have questions.