\(1+2+3+...+x=325.\)
\(\Rightarrow\dfrac{x\left(x+1\right)}{2}=325.\)
\(\Rightarrow x\left(x+1\right)=325.2.\)
\(\Rightarrow x\left(x+1\right)=650.\)
Ta có: \(650=2.5^2.13=\left(2.13\right).5^2=25.26\) (là 2 số tự nhiên liên tiếp).
Vậy \(\left\{x;x+1\right\}=\left\{25;26\right\}.\)
Mà \(x< x+1\Rightarrow x=25.\)
Vậy-.