Question

The sum of four consecutive odd integers is 264. Find the integers.

The smallest of the four consecutive integers is?

Answer 1

63

Explanation:

Consecutive odd integers increase by the addition of 2 therefore if the smallest value is x then the next odd number is x + 2

So therefore; x + x + 2 + x + 4 + x + 6 = 264

Collect like terms

x + x + x + x + 2 + 4 + 6 = 264

4x + 12 = 264

4x = 264 - 12

4x = 252

Divide both sides by 4

x = 63

Therefore the smallest of the four consecutive integers is 63