The average of seven consecutive positive integers is 26. The smallest of these

Question

The average of seven consecutive positive integers is 26. The smallest of these integers is :

Options:

A . 26

B . 25

C . 23

D . 21

Answer: Option C
Answer: (c)Using Rule 1,Average of numbers = ${x_1+x_2+…+x_n}/n$ x+x+1+x+2+x+3+x+4+x+5+x+ 6 = 26 × 7 ⇒ 7x + 21 = 182 ⇒ 7x = 182 – 21 = 161 ⇒ x = $161/7$ = 23 Shortcut Approach Fourth number = 26 ∴ First number = 23

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