The chemical equation will still remain balanced if all its coefficients are multiplied by a common natural number.
Zn(s)+2HCl(aq)→ZnCl2(aq)+H2(g)
If we multiply all the coefficients by a number 3, the equation remains balanced.
3Zn(s)+6HCl(aq)→3ZnCl2(aq)+3H2(g)
The chemical reaction doesn't change, only the molecules involved in the reaction increase by three times. Hence, the given statement is true.