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Question
The average of five consecutive odd numbers is 84 percent of the highest number. What is the sum of the first two of these numbers?
Options
64
32
36
44
MCQ
Solution
36
Explanation:
`(x + x + 2 + x + 4 + x + 6 + x + 8)/5 = (x + 8) xx 84/100`
⇒ `(5x + 20)/5 = ((x + 8) xx 21)/25`
⇒ `(x + 4) xx 25 = (x + 8)21`
⇒ `25x + 100 = 21x + 168`
⇒ `4x = 168 - 100` = 68
⇒ `x` = 17
∴ `2x + 2 = 2 xx 17 + 2` = 36
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