The sum of three consecutive odd numbers is 153. What is the first number in sequence?

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Solution

The correct option is B
49

Let three consecutive numbers be n-2, n and n+2

The sum of three consecutive odd numbers is:

n-2+ n+n+2 = 153

3n =153

n = 153 ÷ 3

n = 51

n-2 = 51-2 = 49

n+2 = 51+2 = 53

The three consecutive odd numbers in sequence are 49, 51 and 53.

Thus, the 1st number in sequence is 49.

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