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1 vote
The product of two positive odd consecutive integers is 4095. What is the larger integer?

User Ziyi
by
7.3k points

1 Answer

3 votes

Answer:

Hi,

65

Explanation:

Let's assume 2k-1 the smaller integer, 2k+1 the largest.


(2k-1)(2k+1)=4095\\\\4k^2-1=4095\\\\4k^2=4096\\\\k^2=1024\\\\k=√(1024) =32\\\\2k+1=2*32+1=\boxed{65}\\\\Proof: 63*65=4095\\

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