Verified Answer :

3.5 pounds gained

from 4 to 5 units is change of 1 unit
3.5lb=1 unit

4 units=3 years ago
4*3.5=14

he weighed 14lb three years ago

14lb is answer

Answer:

14 pounds

Step-by-step explanation:

Let C denote Zimba's current weight and A his weight 3 years ago. We are given the ratio: \($\frac{C}{A}=\frac{5}{4}$\)  as well as \($C=A+3.5$\). We substitute for C in the first equation to find:  \(\[\frac{A+3.5}{A}=\frac{5}{4}.\]\)  Multiplying both sides by 4A to clear denominators, we have: \(\[4A+14=5A.\]\)

Finally we subtract 4A from both sides and find \($A=\boxed{14}$\) pounds.

Hope this helped! :)