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snow_lady [41]
3 years ago
12

The sum of three consecutive odd numbers is 159. What is the smallest of the three numbers ?

Mathematics
1 answer:
natta225 [31]3 years ago
6 0

Since we don't know where to start, we can always give that a variable which in this case, it's X. Since we are finding the sum of three consecutive odd numbers, we will be skipping numbers so we can add 2 each time. Now, let's set up an equation.

<h2>X + X + 2 + X + 4 = 159</h2><h2 /><h2>3x + 6 = 159</h2><h2>       -6     -6   ← subtract 6 on both sides</h2><h2 /><h2>       3x = 153</h2><h2>       ÷3     ÷3   ← divide both sides by 3</h2><h2 /><h2>          X = 51</h2><h2>          X + 2 = 53</h2><h2>          X + 4 = 55</h2><h2 />

Therefore, the smallest of our three consecutive integers is 51.

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