The product of two consecutive numbers is 14 less than 10 times the smaller number. find each number

The consecutive numbers are either 2 and 3, or 7 and 8 ...

x (x+1) = x^2 + x

x^2 + x = 10x-14

quadratic form of x^2 + x = 10x-14:

x^2 - 9x + 14 = 0

(x-2) (x-7) = 0

x = 2, 7

so 2 and 3, or 7 and 8 are the answers