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In a week, the average temperamre of Sunday and Monday is 37.2oC . The average temperature of Tuesday and Wednesday is
39.4oC. Find the temperamre on Sunday if the average temperanue of Monday, Tuesday and Wednesday is 38.1oC
38.9oC
39 oC
39.1oC
38.8oC
- Let's denote the temperature on Sunday as \( S \), on Monday as \( M \), on Tuesday as \( T \), and on Wednesday as \( W \).
- The average temperature of Sunday and Monday is \( 37.2^\circ C \):
\((S + M)/2 = 37.2\)
- The average temperature of Tuesday and Wednesday is \( 39.4^\circ C \):
\((T + W)/2 = 39.4\)
- The average temperature of Monday, Tuesday, and Wednesday is \( 38.1^\circ C \):
\((M + T + W)/3 = 38.1\)
- Solving the equations:
$$S + M = 74.4$$
$$T + W = 78.8$$
$$M + T + W = 114.3$$
- Substitute \( M = 74.4 - S \) into the third equation:
$$(74.4 - S) + 78.8 = 114.3$$
$$153.2 - S = 114.3$$
$$S = 153.2 - 114.3$$
$$S = 38.9^\circ C $$
- 38.9°C is the correct temperature for Sunday.
By: santosh ProfileResourcesReport error
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