Question 109

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 ?

Solution

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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