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If the sum of three consecutive odd integers is 105, what is the smallest of the three integers

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2 Answers

Three consecutive odd intergers can be identified as x, x+2, x+4 so,

x + (x+2) + (x+4) = 105

3x + 6 = 105

3x = 99

x = 33     So, you come to a solution of 33, 35, 37

how about 105/3 = 35,  therefore the middle number is 35, and the 3 numbers are 33, 35, and 37.

Comments

Your approach is good. But you need to explain why.

The median of any arithmetic squence equals to the mean. That's the reason.

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