# What will be the Smallest Integers? If

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

- 21
- 19
- 23
- 25

**Answer: (3) 23**

**Explanation:-**

Let the seven consecutive numbers are X , X + 1, X + 2, X + 3, X + 4, X + 5, X + 6.

The average of seven consecutive numbers = 26

The total sum of seven consecutive numbers = 26 x 7

= 182

Then,

X + X + 1 + X + 2 + X + 3 + X + 4 + X + 5 + X +6 = 182

7 X + 21 = 182

7 X = 182 – 21

7 X = 161

X = 23

Hence, the smallest integer is 23.