Chapter 3: Q. 351 (page 405)

Find three consecutive odd integers whose sum is $51$ .

Short Answer

Expert verified

The sum of three consecutive odd integers $15, 17, & 19$ is $51$ .

Step by step solution

Step 1. Given information

The sum of three consecutive odd integers is $51$

Step 2. Name the integers

Consider first odd integer is n

The second consecutive odd integer is $n + 2$

The third consecutive odd integer is $n + 4$

Step 3. Solution

The sum of three consecutive odd integers is $51$

$n + (n + 2) + (n + 4) = 51 3 n + 6 = 51 3 n = 45 n = 15$

So the first odd integer is $n = 15$

Step 4. Value of consecutive odd integers

A second consecutive odd integer

$n + 2 = 15 + 2 = 17$

So Second consecutive odd integer is $17$

Third consecutive even integer

$n + 4 = 15 + 4 = 19$

the third consecutive odd integer is $19$

So three consecutive odd integers are $15, 17, & 19$

Step 5. Verification

Sum of $15, 17, & 19$ is $51$

$15 + 17 + 19 \overset{?}{=} 51 51 = 51$

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

Three consecutive odd integers are $15, 17, & 19$

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Find three consecutive odd integers whose sum is $51$ .

Short Answer

Step by step solution

Step 1. Given information

Step 2. Name the integers

Step 3. Solution

Step 4. Value of consecutive odd integers

Step 5. Verification

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Find three consecutive odd integers whose sum is51.

Short Answer

Step by step solution

Step 1. Given information

Step 2. Name the integers

Step 3. Solution

Step 4. Value of consecutive odd integers

Step 5. Verification

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Applied Mathematics

Discrete Mathematics

Statistics

Mechanics Maths

Probability and Statistics

Decision Maths

Study anywhere. Anytime. Across all devices.

Find three consecutive odd integers whose sum is $51$ .