The sum of three consecutive odd numbers is 75. What is the smallest of the three numbers?

23

Step-by-step explanation:

Let the three number be represented by x, y and z. We can rewrite them as follows:

x = x

y = x + 2 (because its two jumps to the next odd number)

z = y +2 = x + 4

x + y + z = 75

∴ x + (x+2) + (x+4) = 75

∴ 3x + 6 = 75

∴ 3x = 69

∴ x = 23

∴ x=23, y=25, x=27.

The smallest number, x, is equal to 23.

25

step-by-step explanation:

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