Suppose hospital A admitted 21 less Covid infected patients than hospital B, and all eventually recovered. The sum of recovery days for patients in hospitals A and B were 200 and 152, respectively. If the average recovery days for patients admitted in hospital A was 3 more than the average in hospital B then the number admitted in hospital A was
Explanation:
Let the number of patients in hospital A = x ∴ The number of patients in hospital B = x + 21
⇒ 200x = 152x+21 + 3
⇒ 200x + 4200 = 152x + 3x2 + 63x
⇒ 3x2 + 15x - 4200 = 0
⇒ x2 + 5x - 1400 = 0
⇒ x = 35 or -40 (not possible)
∴ Number of patients in hospital A = 35
Hence, 35.
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