Dear beloved readers, welcome to our website! We hope your visit here brings you valuable insights and meaningful inspiration. Thank you for taking the time to stop by and explore the content we've prepared for you.
------------------------------------------------ The sum of three consecutive odd numbers is 285. What is the ratio of the smallest and largest numbers, respectively?

a. 97 : 95
b. 93 : 95
c. 95 : 93
d. 93 : 97

The solution involves assigning variables to the consecutive odd numbers by ratio , creating an equation from the information given, and solving it to get the smallest number. The largest number is obtained by adding 4 to the smallest number. Finally, the ratio of the smallest to largest is 93 : 97 (option d).

Let the three consecutive odd numbers be x, x+2 and x+4. We are told that the sum of these numbers is equal to 285, so we can create an equation : x + (x + 2) + (x + 4) = 285. Simplifying this equation gives 3x + 6 = 285. Solving for x will give us the smallest number. Subtract 6 from both sides and we get 3x = 279. Divide both sides by 3 gives x = 93. Hence the smallest number is 93 and the largest number is 93+4=97. Therefore, the ratio of the smallest to largest number is 93 : 97, which is option d.

Learn more about ratio here:

https://brainly.com/question/32531170#

#SPJ11