Question

Find three consecutive odd integers such that the sum of the smallest and four times the largest is 61. Please list the numbers from least to greatest with just a space in between

Answer 1

Answer:

$9,11,13$

Step-by-step explanation:

Given: sum of the smallest integer and four times the largest integer out of three consecutive odd integers is 61

To list: numbers from least to greatest

Solution:

Let the three consecutive odd integers be $x,x+2,x+4$.

According to question,

$x+4(x+4)=61\\x+4x+16=61\\5x=61-16\\5x=45\\x=9$

So, the integers are $x=9,x+2=9+2=11,x+4=9+4=13$

Numbers from least to the greatest: $9,11,13$