What will be the Smallest Integers? If

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

  1. 21
  2.  19
  3.  23
  4.  25
Desire Adnan Default Asked on 29th July 2015 in Maths.
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1 Answer(s)

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.

Anurag Mishra Professor Answered on 29th July 2015.
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