three consecutive odd integers are such that thrice the smallest interger is 7 more than the largest integer find the largest interger.
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Answer:Let the three consecutive odd number be x,x + 2, x + 4.
It is given that 3 times the smallest of 3 consecutive odd numbers decreased by 7 equals twice the largest one.
3x - 7 = 2(x + 4)
3x - 7 = 2x + 8
3x = 2x + 15
3x - 2x = 15
x = 15
x + 2 = 11 + 2 = 17
x + 4 = 11 + 4 = 19
Therefore the numbers = 15,17,19.
Hope this helps!
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