Question
Average 20 numbers is ‘x’. If the average of first
12 numbers is 62.5 while average of last 5 numbers is 74.8 and 13th, 14th and 15th numbers are (2x - 33), (4x + 54) and 178 respectively. Find the 14th number.Solution
According to question, => 20x = 62.5 × 12 + 74.8 × 5 + 2x – 33 + 4x + 54 + 178 => 14x = 1323 => x = 94.5  Therefore, 14th number = 4 × 94.5 + 54 = 148.5
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