Let the lower interest rate be r then the other interest rate is r+0.01 (fractions rather than percentages).
So after one year the total interest is 2400r+1900(r+0.01)=449.
Now we can solve for r: (2400+1900)r+19=449, 4300r=430, r=430/4300=1/10=0.1 or 10%.
So the interest rates are 10% and 11%.