5 consecutive odd no. give the sum 145. what is the least odd no.?
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Explanation:
The sum of 5 odd consecutive numbers is 145.
Let the first odd number be n. We have the other 4 odd numbers denoted as:
n + 2
n + 4
n + 6
n + 8
Add them all together
n + (n + 2) + (n + 4) + (n + 6) + (n + 8)
The sum of the 5 odd consecutive numbers equals 145
n + (n + 2) + (n + 4) + (n + 6) + (n + 8) = 145
Combine like terms:
5n + 20 = 145
Using our equation solver, we get n = 25. Using our other 4 consecutive odd numbers above, we get:
27
29
31
33
Adding the sum up, we get: 25 + 27 + 29 + 31 + 33 = 145.
So our 5 odd consecutive number added to get 145 are {25, 27, 29, 31, 33}.
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