The given question asks for the sum of $20.35 and $0.37.75. To find the sum, we add the two amounts together. Adding the dollars, we have $20.00 + $0.00 = $20.00. Adding the cents, we have $0.35 + $0.75 = $1.10. Combining the dollars and cents, we get $20.00 + $1.10 = $21.10. Therefore, the correct answer is $21.10, not $58.10 as stated.