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Chapter 3: Q. 349 (page 405)

Find three consecutive integers whose sum is −141.

Short Answer

Expert verified

The sum of three consecutive numbers-48,-47,&-46is-141.

Step by step solution

01

Step 1. Given information   

The sum of three consecutive integers is-141.

02

Step 2. Consider variable for numbers  

Consider the First integers is n

Then second consecutive integer isn+1

Then third consecutive integer isn+2

03

Step 3. Solution

The sum of three consecutive integers is -141

n+(n+1)+(n+2)=-1413n+3=-1413n=-144n=-48

So the first integer isn=-48

04

Step 4. Value of consecutive integers

Second consecutive integer

n+1=-48+1n+1=-47

So Second consecutive integer is -47

Third consecutive integer

n+2=-48+2n+2=-46

the third consecutive integer is -46

So consecutive integers arelocalid="1647203584036" -48,-47,&-46.

05

Step 5. Verification

Sum of -48,-47,&-46is -141

(-48)+(-47)+(-46)=?-141-141=-141

The left-hand side is equal to the right-hand side, so our answer is correct

Three consecutive integers are-48,-47,&-46

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