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babymother [125]
3 years ago
9

The sum of three consecutive odd numbers is 123. What is the smallest of the three numbers?

Mathematics
2 answers:
Doss [256]3 years ago
3 0
<span>Let the smallest of the three odd integer be A. The next integer will be (A+2), and the largest of the three is (A+4) 
Given: A + (A+2) + (A+4) = 123 
Combine like terms and solve for A as follows
3A + 6 = 123</span><span>Subtract 6 from each side of the equation to yield
3A = 117
Divide both sides by 3. Yields
A = 39 
</span><span>The sum of three consecutive odd integers is 123. Fd the integers.
----------------
1st: 2n+1
2nd: 2n+3
3rd: 2n+5
-----------------
EQUATION:
2n+1 + 2n+3 + 2n+5 = </span><span>6n + 9 = 123
6n = 114
n = 19
-------------
1st: 2*19+1 = 39
2nd: 41
3rd: 43</span>
Aleonysh [2.5K]3 years ago
3 0
39,41,43 is consecutive. It adds to 123. 39 is the smallest one.
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