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Chapter 2: Q. 2.33 (page 118)

Find three consecutive integers whose sum is -96.

Short Answer

Expert verified

Three consecutive integers will be-33,-32,-31.

Step by step solution

01

Step. 1 Assume the integers.

Let the consecutive integers are,

1stinteger=n2ndinteger=n+13rdinteger=n+2

02

Step 2. Form the equation for the statement given.

"Sum of these consecutive integers is -96"

Equation for the statement will be,

n+(n+1)+(n+2)=-96

03

Step 3. Add like terms.

3n+3=-96

04

Step 4. Isolate the variable on one side.

To isolate the variable nsubtract3from both the sides of the equation,

(3n+3)-3=-96-33n=-99

05

Step 5. Solve the equation.

Divide the equation by 3,

3n3=-993n=-33
06

Step 6. Substitute the value of variable n.

Three consecutive integers will be,

n=-33n+1=-33+1=-32n+2=-33+2=-31

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