Question

The product of two consecutive positive numbers is $182$. Find the numbers.

Answer 1

A] Let two numbers be x , x + 1

given , x (x + 1) = 182

$=x^2+x-182=0$

$=x^2+14x-13x-182=0$

$=x(x+14)-13(x+14)=0$

= (x + 14) (x - 13) = 0

as x is positive

so x = 13

Two numbers are 13 , 14