Find 3 consecutive odd integers where the sum is -141

Adison Rogers

Adison Rogers

Answered question

2022-11-14

Find 3 consecutive odd integers where the sum is -141

Answer & Explanation

kliersel12g

kliersel12g

Beginner2022-11-15Added 13 answers

Let the first odd number be x
Then, the consecutive odd number is x+2
The last consecutive odd number is x+4

Why do we add 2 to each odd number?
Well, think of any three consecutive odd numbers.

135,137,139
186395,186397,186399

From the above, you can see that when you minus 2 consecutive numbers, you will always get a difference of 2

Since their sum equals to −141,

x+(x+2)+(x+4)=−141
3x+6=−141
3x=−147
x=−49

Therefore, your first odd number is -49
Your second number is −49+2=−47
Your third number is −47+2=−45

Now, just to make sure you are right, add the numbers together

−49−47−45=−141

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