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The product of two consecutive odd integers in 783. What are the integers?
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Feb 21, 2018
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The product of two consecutive odd integers in 783. What are the integers?
Mathematics
middle-school
Mmilleruva
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Mmilleruva
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Let the odd no. be X and Y.
Then XY = 783
Since the odd no. are consecutive,
Y = X + 2
i.e X(X+2) = 783
Factorizing
X^2 + 2X = 783
X^2 + 2X -783 = 0
Therefore X = 27 or 29
Thus if X = 27, Y = 29
and if X = 29, Y = 27
James Tobin
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Feb 27, 2018
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James Tobin
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