Chapter 2: Q. 2.35 (page 119)

Find three consecutive even integers whose sum is $102$ .

Short Answer

Expert verified

Three consecutive even integers will be $32, 34, 36$

Step by step solution

Step 1. Assume three consecutive even integers,

Let three consecutive integers are,

$n, (n + 2), (n + 4)$ .

Step 2. Form the first equation.

Statement given in the question states that, "Sum of the consecutive integers is $102$ "

Equation for the statement will be,

$n + (n + 2) + (n + 4) = 102$

Step 3. Solve the equation by adding like terms,

$(n + n + n) + (2 + 4) = 102 3 n + 6 = 102$

Step 4. Isolate the variable on one side.

Subtract 6 from both the sides of the equation to isolate the variable.

(3 n + 6) - 6 = 102 - 6 3 n = 96

Step 5. Divide the equation by3,

$\frac{3 n}{3} = \frac{96}{3}$

$n = 32$

Step 6. Substitute the value of n to get the integers.

$1 s t i n t e g e r = n = 32 2 n d i n t e g e r = n + 2 = 34 3 r d i n t r e g e r = n + 4 = 36$

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Find three consecutive even integers whose sum is $102$ .

Short Answer

Step by step solution

Step 1. Assume three consecutive even integers,

Step 2. Form the first equation.

Step 3. Solve the equation by adding like terms,

Step 4. Isolate the variable on one side.

Step 5. Divide the equation by3,

Step 6. Substitute the value of n to get the integers.

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Find three consecutive even integers whose sum is102.

Short Answer

Step by step solution

Step 1. Assume three consecutive even integers,

Step 2. Form the first equation.

Step 3. Solve the equation by adding like terms,

Step 4. Isolate the variable on one side.

Step 5. Divide the equation by3,

Step 6. Substitute the value of n to get the integers.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Probability and Statistics

Applied Mathematics

Statistics

Pure Maths

Discrete Mathematics

Logic and Functions

Study anywhere. Anytime. Across all devices.

Find three consecutive even integers whose sum is $102$ .