Two numbers have a product of 3 1/5 and a sum of 3 3/5. one of the numbers is a whole number. What are the numbers?

N*M=3 1/5

N+M=3 3/5

change the fractions to improper

N*M=16/5 or N=16/5M

then in the second
16/5M + M= 18/5
multipy both sides by M
16/5+M^2= 18M/5
multipy both sides by 5
16+5M^2=18M
put it in standard form, and solve.