Let's assume 2n-1 the first integer and 2n+1 the second.
(2n-1)*(2n+1)=64 (2n)²-1=64 4n²=64 n²=16 ==>n=4 or n=-4 If n=-4 then 2n-1=2*(-4)-1=-9 and 2n+1=2*(-4)+1=-7 If n=4 then 2n-1=2*(4)-1=7 and 2n+1=2*(4)+1=9
Two consecutive odd integers are known as back-to-back odd whole numbers; one right after the other. For example; 1 and 3, 3 and 5, 5 and 7, and so on. Let’s work up to which two consecutive odd integers make a product of 63. 1 x 3 = 3; no 3 x 5 = 15; no 5 x 7 = 35; no 7 x 9 = 63; yes
From the work shown above, we can see that the two consecutive odd integers “7” and “9” make a product of 63.
