Question 530521
Three consecutive odd integers can be defined as:
x
x+2
x+4
.
The sum of these three number is 36 less than the product of the smaller two.
.
x +x+2 +x+4 +36 = x*(x+2)
.
Solve
.
3x + 42 = x^2 + 2x
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x^2 -x -42 = 0
.
Factor
.
(x-7)(x+6) = 0
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x = 7 or -6
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-6 is not odd, so we select 7 as the answer.
.
x = 7
x+2 = 9
x+4 = 11
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Check the values.
7*9 = 63
7+9+11 = 27
27+36 = 63
Correct
.
Answer:  The numbers are 7, 9, and 11.
.
Done.