The sum of three consecutive odd numbers is $111$ . Find the middle number .

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Solution

Let the odd numbers be $x, x + 2$ and $x + 4$
According to the equation, we have,
$x + x + 2 + x + 4 = 111$
$⟹ 3 x + 5 = 111$
$⟹ 3 x = 105$
$⟹ x = \frac{105}{3}$
$⟹ x = 35$
Middle Number $= x + 2 = 35 + 2 = 37$

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The sum of three consecutive odd numbers is 111. Find the middle number .

Let the odd numbers be x, x+2 and x+4According to the equation, we have,x+x+2+x+4=111⟹3x+5=111⟹3x=105⟹x=1053⟹x=35Middle Number =x+2=35+2=37

The sum of three consecutive odd numbers is $111$ . Find the middle number .

Let the odd numbers be $x, x + 2$ and $x + 4$
According to the equation, we have,
$x + x + 2 + x + 4 = 111$
$⟹ 3 x + 5 = 111$
$⟹ 3 x = 105$
$⟹ x = \frac{105}{3}$
$⟹ x = 35$
Middle Number $= x + 2 = 35 + 2 = 37$