the two consecutive positive odd integers can be written as

2x-1 and 2x+1, where x is positive integer

the product of two consecutive positive odd integers is equal to 1 less than seven times the sum of the integers

(2x - 1)(2x + 1) = 7(2x - 1 + 2x + 1) - 1

by solving we find and consider the positive roots

x = 7

click here to see the step by step solution of the equation

Click to see all the steps

2*7 - 1 = 13

2*7 + 1 = 15

the numbers are 13 and 15.