Discover answers to your questions with Westonci.ca, the leading Q&A platform that connects you with knowledgeable experts. Get immediate answers to your questions from a wide network of experienced professionals on our Q&A platform. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform.
Sagot :
Using a system of equations, it is found that the third number is 11.
System of equations:
- The variables representing the numbers are: x, y and z.
- They are consecutive odd numbers, that is, they are separated by 2, hence:
[tex]y = x + 2[/tex]
[tex]z = y + 2 = x + 4[/tex]
Two times the first number plus the second number is one more than twice the third number, hence:
[tex]2x + y = 1 + 2z[/tex]
Then, considering the equations we have for y and z as functions of x:
[tex]2x + x + 2 = 1 + 2(x + 4)[/tex]
[tex]3x + 2 = 2x + 9[/tex]
[tex]x = 7[/tex]
Hence, the third number is:
[tex]z = x + 4 = 7 + 4 = 11[/tex]
To learn more about system of equations, you can take a look at https://brainly.com/question/14183076
Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. We appreciate your time. Please come back anytime for the latest information and answers to your questions. Thank you for visiting Westonci.ca, your go-to source for reliable answers. Come back soon for more expert insights.
