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Elena L [17]
3 years ago
9

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
Mathematics
1 answer:
Kipish [7]3 years ago
7 0

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

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Prime factorization means that we divide 90 by prime numbers only.

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45 ÷ 3 = 15
15 ÷ 3 =   5

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2 x 3² x 5 = 90 
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