[tex]1 + 2 + 3 + ... + 23 = \\ \frac{23 \times 24}{2} = 276 \\ 3 \times 1 + 3 \times 2 + 3 \times 3 + ... + 3 \times 22 \\ = 3(1 + 2 + 3 + ... + 22) = \\ 3 \times \frac{22 \times 23}{2} = \frac{135}{2} [/tex]
[tex] \frac{273}{x + 3} = \frac{ \frac{135}{2} }{3x } \\ \frac{273}{x + 3} = \frac{45}{2x} \\ 546x = 45(x + 3) \\ 546x = 45x + 135 \\ 501x = 135 \\ x = \frac{46}{167} [/tex]
