a, 1+2+3+...+m=45
=> [(m-1):1+1]x(m+1):2=45
=> mx(m+)=45x2
=> mx(m+1)=90
=> mx(m+1)=9x(9+1)
=> m=9
b, 2+4+..+2.n=110
=> 1.2+2.2+...+2.n=110
=> 2.(1+2+3+...+n)=110
=> 1+2+3+..+n=110:2
=> 1+2+..+n=55
=> [(n-1):1+1].(n+1):2=55
=> n.(n+1)=55.2
=> n.(n+1)=110
=> n.(n+1)=10.(10+10
=> n=10