1. The averages of five consecutive odd number is 84 per cent of the highest number.What is the sum of the first two of these numbers ?
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By: anil on 05 May 2019 01.26 am
Let the five odd numbers be a, a+2, a+4, a+6 and a+8.
Hence, their sum equals 5a + 20 and their average is a+4 As given in the question, (a+4)/(a+8) = 84/100 = 21/25
Therefore, 25a + 100 = 21a + 168
Or, 4a = 68
Hence, a = 17 Hence, the first two numbers are 17 and 19 and their sum is 36
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Hence, their sum equals 5a + 20 and their average is a+4 As given in the question, (a+4)/(a+8) = 84/100 = 21/25
Therefore, 25a + 100 = 21a + 168
Or, 4a = 68
Hence, a = 17 Hence, the first two numbers are 17 and 19 and their sum is 36