Chapter 2: Q. 2.36 (page 119)

Find three consecutive even integers whose sum is $- 24$ .

Short Answer

Expert verified

Three consecutive integers are $- 10, - 8, - 6$ .

Step by step solution

Step 1. Assume three consecutive even integers.

Let three consecutive integers are,

$1 s t i n t e g e r = n 2 n d i n t e g e r = n + 2 3 r d i n t e g e r = n + 4$

Step 2. Form the equation.

Question states that sum of three consecutive even integers is $- 24$ .

Equation for the statement will be,

$n + (n + 2) + (n + 4) = - 24$

Step 3. Solve the equation.

Add like terms,

(n + n + n) + (2 + 4) = - 24 3 n + 6 = - 24

Step 4. Isolate the variable.

Subtract $6$ from each side of the equation,

(3 n + 6) - 6 = - 24 - 6

$3 n = - 30$

Step 5. Simplify the equation.

Divide the equation by $3$ .

\frac{3 n}{3} = - \frac{30}{3} n = - 10

Step 6. Substitute n=-10 to find the integers.

$1 s t i n t e g e r = n = - 10 2 n d i n t e g e r = n + 2 = - 8 3 r d i n t e g e r = n + 4 = - 6$

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Find three consecutive even integers whose sum is $- 24$ .

Short Answer

Step by step solution

Step 1. Assume three consecutive even integers.

Step 2. Form the equation.

Step 3. Solve the equation.

Step 4. Isolate the variable.

Step 5. Simplify the equation.

Step 6. Substitute n=-10 to find the integers.

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Find three consecutive even integers whose sum is-24.

Short Answer

Step by step solution

Step 1. Assume three consecutive even integers.

Step 2. Form the equation.

Step 3. Solve the equation.

Step 4. Isolate the variable.

Step 5. Simplify the equation.

Step 6. Substitute n=-10 to find the integers.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Statistics

Logic and Functions

Geometry

Theoretical and Mathematical Physics

Calculus

Pure Maths

Study anywhere. Anytime. Across all devices.

Find three consecutive even integers whose sum is $- 24$ .