How much longer will it take to pay off a $$110,000$ loan with monthly payments of $$1,100$ than with monthly payments of $$1,200?$ The interest rate on the loan is $10\mathrm{.}90\%$ compounded monthly. $($Do not round intermediate calculations and round up the number of payments, n$,$ to the next whole number.$)$

Difference

year$($s$)$ and

month$($s$).$