Math Problem Statement

1.     The sum of two odd consecutive integers is 88. Find the integers.  

Solution

Let the two consecutive odd integers be represented by xx and x+2x + 2.

According to the problem, their sum is 88:

x+(x+2)=88x + (x + 2) = 88

Now, simplify and solve for xx:

2x+2=882x + 2 = 88 2x=8822x = 88 - 2 2x=862x = 86 x=862=43x = \frac{86}{2} = 43

So, the first odd integer is x=43x = 43, and the second odd integer is:

x+2=43+2=45x + 2 = 43 + 2 = 45

Thus, the two consecutive odd integers are 43 and 45.

Would you like more details or have any questions?

Here are 5 related questions for further practice:

  1. What is the sum of two consecutive even integers if their sum is 100?
  2. Find two consecutive odd integers whose sum is 72.
  3. What are two consecutive integers whose sum is 99?
  4. If the sum of two consecutive odd integers is 66, what are the integers?
  5. The product of two consecutive even integers is 168. What are the integers?

Tip: Consecutive integers differ by 1, while consecutive odd or even integers differ by 2.

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Math Problem Analysis

Mathematical Concepts

Algebra
Consecutive Integers
Linear Equations

Formulas

Sum of consecutive integers: x + (x + 2) = S

Theorems

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Suitable Grade Level

Grades 6-8