If you have symptoms that affect both upper extremities, the likely source of the injury is in the neck region. Your symptoms of pain and numbness sound fairly serious and should be addressed very soon with a consultation with a physician. Nerve tissue, like brain tissue, does not tolerate compression and injury well and a delay in treatment may result in residual damage.
Conservative treatment like activity modification (e.g. modification of workstation ergonomics, taking breaks from a desk environment every 15 minutes, etc.), rest, gentle neck exercises, ice, and non-steroidal anti-inflammatory medications may help until you are able to see a physician.