Answered

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 :

Answer:

[tex]9,11,13[/tex]

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 [tex]x,x+2,x+4[/tex].

According to question,

[tex]x+4(x+4)=61\\x+4x+16=61\\5x=61-16\\5x=45\\x=9[/tex]

So, the integers are [tex]x=9,x+2=9+2=11,x+4=9+4=13[/tex]

Numbers from least to the greatest: [tex]9,11,13[/tex]

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