SOLUTION: find three consecutive odd integers such that the sum of the smallest and 4 times the largest is 61

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Question 115650: find three consecutive odd integers such that the sum of the smallest and 4 times the largest is 61
Answer by MathLover1(20850) About Me  (Show Source):
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find three consecutive odd integers such that the sum of the smallest and 4 times the largest is 61

let three consecutive odd integers be:
x………smallest
x%2B2
x%2B4……………. Largest
Given:
x%2B4+%28x%2B4%29+=+61………solve for x
x%2B4x%2B16=+61
5x=+61-16
5x=+45
x=+45%2F5
x=+9………smallest odd integer
x%2B2=+9+%2B2=+11
x%2B4=+9+%2B+4+=+13……………. Largest

Check:
x%2B4+%28x%2B4%29+=+9+%2B+4%2A13=+9%2B52+=61