This is a synthesis reaction, also called a combination reaction, because two or more reactants produce a single product. You essentially have been given a word equation, which does not give the chemical formulas of each substance. In order to write a chemical equation, you need to determine the chemical formulas of each substance. Then write the equation and balance it.
Reactants
Gaseous nitrogen dioxide:
Gaseous oxygen:
Liquid water:
Product
Aqueous nitric acid:
Balanced Equation