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Alla [95]
2 years ago
9

The sum of fourconsecutive odd number is 8o. Find the number​

Mathematics
1 answer:
yarga [219]2 years ago
5 0

Answer:

<em>The sum of 4 consecutive odd number is 80</em>

<em>Let X be the first of these numbers</em>

<em>Then the next odd number is X+2</em>

<em>The third is X+4The fourth is X+6</em>

<em>All of these add up to 80</em>

<em>(X) + (X+2) + (X+4) + (X+6) = 80</em>

<em>Using the commutative and associative laws, let's transform this equation into</em>

<em>(X + X + X + X) + (2 + 4 + 6) = 804X + 12 = 80</em>

<em>Subtract 12 from both sides of the equation gives4X = 68</em>

<em>Divide both sides by 4 gives</em>

<em>X = 17</em>

<em>Going back to the original question:What are the 4 consecutive odd numbers: 17, 19, 21, 23Checking our answer:17 + 19 + 21 + 23 = 80 Correct!</em>

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