High School

Three times the lesser of two consecutive odd integers is eleven more than two times the greater of the two integers. What are the two integers?

Answer :

Final answer:

To find the two consecutive odd integers, we can use algebraic equations. By setting up an equation and solving it, we can find the values of the integers.

Explanation:

To find the two consecutive odd integers, let's assume the lesser integer is x and the greater integer is x + 2. According to the given information, 3 times the lesser integer is equal to 11 more than 2 times the greater integer. This can be written as:



3(x) = 2(x + 2) + 11



Solving this equation will give us the value of x. We can then find the two integers by substituting x back into the equation.



Let's solve the equation:




  1. 3x = 2x + 4 + 11

  2. 3x = 2x + 15

  3. x = 15



So, the two consecutive odd integers are 15 and 15 + 2 = 17.

Learn more about Consecutive odd integers here:

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