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

Answer 1

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