the larger of two consecutive odd integers is three times the smaller. What is their sum?

Question

 This is a multiple choice question. the answers are either 4, 8, 12, 16, or 20.

Answer 1

The only two consecutive odd integers that meet the requirements of the problem are the numbers 1 and 3. So the sum of these two numbers is 4. This the answer below and is correct. It may be obtained from n(n+2)=3n or n^2+2n-3n=0 or n=1, n=-3 which can be ignored. Hence n=1,2n+1=3 or 1,3 is correct.

Answer 2

Two consecutive odd numbers would be:

 

x and x + 2

 

If the larger is three times the smaller

 

x + 2 = 3x

2 = 2x

1 = x

 

So the two numbers are 1 and 3, their sum is 4.

Answer 3

Hello Daryan,

 

The only two consecutive odd integers that meet the requirements of the problem are the numbers 1 and 3. So the sum of these two numbers is 4.

 

Hope this helps!