Hi
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Platelet count is often increased in inflammatory conditions like rheumatoid arthritis. It is also increased in some bone marrow disorders like myeloproliferative disorders (polycythemia vera, essential thrombocytosis, idiopathic myelofibrosis and chronic myeloid leukemia). High eosinophils go more in favor of parasitic infections. Get his stool tested. The other possibility is viral infection, allergy, lupus, hyperthyroid states, hypersplenism, and rheumatoid arthritis. And yes, he has anemia.
It is difficult to comment beyond this at this stage without full medical history and clinically examining the patient. Do consult your doctor as definitely further tests are required. Please let me know if there is any thing else and do keep me posted. Take care!
The main test for anemia is your fbc and hemoglobin, yours is a good reading so would say no, as a long suffering anemic that is a good reading. There are other things that can be low or high ask for a more detailed blood test.
You said "he". Most men range from 12-14 hemoglobin. Why the high platelet count? I think he needs more testing. Make someone tell you why.