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The average temperature on Sunday, Monday and Tuesday was 27°C. The average temperature on Monday, Tuesday and Wednesday was 29°C. If the temperature on Wednesday was 30°C, find the temperature on Sunday.

  • A.26
  • B.28
  • C.25
  • D.24

Answer: D

The temperature on Sunday was 24°C.

Turn each average into a total:

\[ \begin{aligned} S + M + T &= 3 \times 27 = 81 \\ M + T + W &= 3 \times 29 = 87 \\ M + T &= 87 - 30 = 57 \\ S &= 81 - 57 = 24 \end{aligned} \]

A shortcut: the two totals differ by \(87 - 81 = 6\), which is \(W - S\), so \(S = 30 - 6 = 24\). The option 28 comes from subtracting the difference of the averages, 2, instead of the difference of the totals, 6.

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