The product of two consecutive odd integers in 783. What are the integers?

Question

Makenzie Chan

Mathematics

21 April, 13:24

The product of two consecutive odd integers in 783. What are the integers?

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Answers (1)

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Francesca Orozco · Answer 1

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