The mean of $5$ numbers is $30$. If the mean of the first three is $32$, the mean of the remaining two is:

The mean of $5$ numbers is $30$. If the mean of the first three is $32$, the mean of the remaining two is:
  1. $26$
  2. $27$
  3. $28$
  4. $30$

Solution

Sum of $5 = 150$, sum of first $3 = 96$. Sum of remaining $2 = 54$. Mean $= \dfrac{54}{2} = 27$.

Asked in: IMO

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