8. Find three consecutive odd integers whose sum is 105

the answer is  33,35,37

Explanation:

let the unknown odd numbers be n-2 , n , n + 2

note ; n-2 , n , n + 2 are expressed like this because they are  consecutive and they are odd numbers which means they must differ by 2.

Therefore, the sum of the three consecutive odd integers whose sum is 105 will be expressed as

n-2 + n + n+2 = 105

3n = 105

divide by 3

n = 35

since we know one of the number den we find the other 2

from, n-2, n, n+ 2

35 - 2 , 35 , 35 + 2

33, 35, 37

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