Chapter 3: Q. 350 (page 405)

Find three consecutive even integers whose sum is $234$ .

Short Answer

Expert verified

The sum of three consecutive even integers $76, 78, & 80$ is $234$ .

Step by step solution

Step 1. Given information

The sum of three consecutive even integers is $234$ .

Step 2. Name the integers

Consider first even integer is n.

second consecutive even integer is $n + 2$ .

Third consecutive even integer is $n + 4$ .

Step 3. Solution

The sum of three consecutive even integers is $234$

$n + (n + 2) + (n + 4) = 234 3 n + 6 = 234 3 n = 228 n = 76$

So the first integer is $n = 76$

Step 4. Value of consecutive even integers

Second consecutive even integer

$n + 2 = 76 + 2 = 78$

So Second consecutive even integer is $78$

Third consecutive even integer

$n + 4 = 76 + 4 = 80$

the third consecutive integer is $80$

So three consecutive integers arerole="math" localid="1647204442965" $76, 78, & 80$

Step 5. Verification

Sum of $76, 78, & 80$ is $234$

$76 + 78 + 80 \overset{?}{=} 234 234 = 234$

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

Three consecutive even integers are $76, 78, & 80$ .

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Find three consecutive even integers whose sum is $234$ .

Short Answer

Step by step solution

Step 1. Given information

Step 2. Name the integers

Step 3. Solution

Step 4. Value of consecutive even integers

Step 5. Verification

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Find three consecutive even integers whose sum is234.

Short Answer

Step by step solution

Step 1. Given information

Step 2. Name the integers

Step 3. Solution

Step 4. Value of consecutive even integers

Step 5. Verification

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Calculus

Mechanics Maths

Logic and Functions

Pure Maths

Geometry

Study anywhere. Anytime. Across all devices.

Find three consecutive even integers whose sum is $234$ .