Find three consecutive odd numbers whose sum is 219. – InterviewSolution

1.

Find three consecutive odd numbers whose sum is 219.

Answer»

Let the odd number be ‘x’.

The next two consecutive numbers are x + 2 and x + 4

x + (x + 2) + (x + 4) = 219

3x + 6 = 219

3x = 219 – 6

3x = 213

x = \(\frac{213}{3}\)

x = 71

x + 2 = 71 + 2 = 73

x + 4 = 71 + 4 = 75

Three consecutive odd numbers are 71, 73, 75

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