Select the correct answerThe sum of five consecutive odd numbers is equal to 245.what is the difference between twice the largest odd number and the smallest odd number?Options7161645165
Question
Select the correct answerThe sum of five consecutive odd numbers is equal to 245.what is the difference between twice the largest odd number and the smallest odd number?Options7161645165
Solution
To solve this problem, we first need to find the five consecutive odd numbers.
-
We know that the sum of these five numbers is 245. So, we can set up the equation: 5x + 20 = 245, where x is the smallest odd number. The "+20" comes from the fact that each subsequent odd number is 2 greater than the previous one (4 additional odd numbers * 5 = 20).
-
Solving this equation for x gives us x = 45. So, the smallest odd number is 45.
-
The largest odd number, then, is 45 + 8 = 53 (since each subsequent odd number is 2 greater than the previous one).
-
The difference between twice the largest odd number and the smallest odd number is 2*53 - 45 = 61.
So, the correct answer is 61.
Similar Questions
Select the correct answerThe sum of five consecutive even numbers is equal to 260. what is the sum of the largest number amongst them and the half the square of the smallest numbers amongst them?Options12741346120812881644
Select the correct answerThe sum of 5 consecutive odd numbers is 575. What will be the sum of the next set of 5 consecutive odd numbers?Options580625None of these600650
Select the correct answerThe sum of three consecutive even numbers is 132. What is the smallest number?Options484642444
he sum of five distinct whole numbers is 337. If 60 is the smallest of them, what is the maximum value the largest number can have?Options :917097274
The average of five consecutive odd numbers is 51.What is the difference between the highest and lowest number?37811
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.