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The sum of two consecutive integers is-135. Find the numbers.

Short Answer

Expert verified

The sum of two consecutive integers-68&-67is −135.

Step by step solution

01

Step 1. Given information  

The sum of two consecutive integers is-135

02

Step 2. Solution

Consider the First integers is n

Then next consecutive integer is n+1

The sum of two consecutive integers is -135

localid="1647202791943" n+(n+1)=-1352n+1=-1352n=-136n=-68

The first number is-67

The next consecutive integer is

localid="1647202803016" n+1=-68+1=-67

So two consecutive integers are localid="1647202813815" -68&-67.

03

Step 3. Verification

Sum of -68&-67is -135

localid="1647203043260" (-68)+(-67)=?-135-68-67=-135

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

two consecutive integers are -68&-67

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