Question

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

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