The average of 9 consecutive numbers is

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Target Exam

CUET

Subject

General Test

Chapter

Numerical Ability

Topic

Average

Question:

The average of 9 consecutive numbers is 20. The smallest of these numbers is :

Options:

Correct Answer:

Explanation:

Let the smallest number of the series be x

x + (x + 1) + .....+ (x + 7) + (x + 8) = 20 x 9

⇒ 9x + ( 1 + 2 + ....+ 7 + 8) = 180

⇒ 9x + 36 = 180

⇒ x = $\frac{180 - 36}{9}$

⇒ x = 16

∴ The smallest of these numbers is 16